Sally took out a loan for $$20,000.$ The loan was governed by compound interest at a rate of $3\%.$ She made a payment of $$2500$ one year later and a payment of $$3,000$ three years after she took out the laan. The following year, Sally made a payment of $$7,000.$ Find the amount of interest paid in the final payment if Sally pays off the remainder of the loan five years after the origination.