The sales tax rate for the state of Washington was 7.4\%.

What is the state sales tax on a $\$ 5,500$ car in Washington?

What is the final cost of the car, including tax?

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$\boxed{5907}$ is the final cost of the car, including tax.

Steps

Step 1 ：Convert the sales tax rate from percentage to decimal: $\frac{7.4}{100} = 0.074$

Step 2 ：Calculate the sales tax: $5500 \times 0.074 = 407$

Step 3 ：Calculate the final cost of the car: $5500 + 407 = 5907$

Step 4 ：$\boxed{5907}$ is the final cost of the car, including tax.