Is this the right inline capacitor (for HPF)?

[Umbra]

I have two sets of Kenwood KFC-P709PS component speakers. They use an "in-line crossover network" which is a fancy way of saying the wires they give you that connect the woofer to the tweeter have an inline capacitor to block 4,900 Hz and down. Long story short, I accidentally discarded these wires and I'm not that interested in trying to run them active, so I need four caps to run the tweeters with the woofers.

The specs state the set is crossed over at 4,900 Hz. The woofer and the tweeter are both 4 ohms.

Passive Crossovers, Capacitor and Coil Calculator and some other charts and calculators tell me I need an ~8.1 µfd cap to achieve this.

I found a few, but this one looks solid and isn't too expensive (I'm willing to bet it's a better quality than what was originally used too):

Dayton Audio DMPC-8.2 8.2uF 250V Polypropylene Capacitor

I'd like to know if I've done the calculation correctly and if this is indeed what I need.

I'd also like to know if anyone thinks I should add an inductor to make it a real crossover, or it that overkill, especially for $70 speakers?

Thanks for any insight you can provide

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[Umbra]

Throwing out a bump. I think it's right, I'm going to order them before tomorrow. Hopefully someone can confirm these are okay

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Edit: Bought 'em. Hope they work so I can get my tweeters back in. Music without well articulated highs is so lacking