There's a sticker on the driver's door jam. It will have an axle code (like D4) which indicates a 3:73 LSD ratio). Mine was a 4:10 LSD. You can Google what the various codes mean. I bought a used 4:10 open diff out of an Explorer at a local salvage yard for $300 with a 30 day warranty. I removed the cover to inspect the internals (it looked like new inside) pulled the axles to swap the brake backing plates and refilled it with 3 qts of Full Synthetic 75W140 gear oil. It's been working perfectly ever since. A rebuild would have been much more expensive and my axles were worn out too.
You can also use Ford's ETIS website to find out what optional equipment your truck was built with. You just need your VIN. Lastly there's a metal tag on one of the diff cover bolts that tells the gear ratio.