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Finding the Fourth Proportional to 3,637.68, 5,458.32 and 1,689.54

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Solution

The fourth proportional to 3,637.68, 5,458.32 and 1,689.54 is: 2,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.68 : 5,458.32 = 1,689.54 : x
  2. Step 2: Convert to fraction form
    3,637.68/5,458.32 = 1,689.54/x
  3. Step 3: Cross multiply
    3,637.68x = 5,458.32 × 1,689.54
  4. Step 4: Simplify right side
    3,637.68x = 9,222,049.97
  5. Step 5: Solve for x
    x = 9,222,049.97/3,637.68
  6. Step 6: Final answer
    x = 2,535.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.