Fort Lauderdale is about 2,783 times smaller than Michigan.

Michigan is approximately 250,493 sq km, while Fort Lauderdale (excluding the city's 9.9 sq km of water area) is approximately 90 sq km, making Fort Lauderdale 0.04% the size of Michigan.
Tip: This to-scale comparison of Michigan vs. Fort Lauderdale uses the Mercator projection, which distorts the size of regions near the poles.