On July $14,$ Fat Tires Ltd$.$ borrowed $$$$8000\mathrm{.}00$ with an interest rate of $7\mathrm{.}7\%.$ The loan was repaid in full on December $20,$ with payments of $$3000\mathrm{.}00$ on September $19$ and $$3500\mathrm{.}00$ on November $1.$ What was the final$$ payment?

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Use declining balance method; each partial payment first pays the interest then reduces the loan balance.

The final payment was $?.$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$