Converting units and currency

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A supermarket in Japan sells soy milk for 398 yen per liter. If there are 83.35 yen per dollar, then what is the price in dollars per quart? Conversions that were given. Dollars per foreign =0.0120 Foreign per dollar 83.35 1 liter= 1.05669

My answer was $5.05 per quart but apparently was wrong.

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$$\frac{398 \text{ yen}}{1 \text{L milk}} \cdot \frac{\text{1 dollar}}{83.35 \text{yen}} \cdot \frac{\text{1 L}}{1.05669 \text{ quarts}} = \frac{398}{83.35 \cdot 1.05669} \frac{\text{dollars}}{\text{quart of milk}} = \\4.518870237\dots \frac{\text{dollars}}{\text{quart of milk}}$$

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1 Liter costs $\frac{398 \ \text{Yen}}{\text{liter}} \cdot \frac{ \ \text{Dollars}}{83.35 \ \text{Yen}}$ The result is in Dollars per liter.

Now you have to convert the liters in quart. 1 quart = 0.946352946 Liters

1 Liter$= \frac{1}{0.946352946}$ quarts.

Thus 1 quart costs in Dollar: $\frac{398 \ \text{Yen}}{\frac{1}{0.946352946} \text{quart}} \cdot \frac{ \ \text{Dollars}}{83.35 \ \text{Yen}}$