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Finding the Fourth Proportional to 3,687.32, 5,528.14 and 1,737.65

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Solution

The fourth proportional to 3,687.32, 5,528.14 and 1,737.65 is: 2,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.32 : 5,528.14 = 1,737.65 : x
  2. Step 2: Convert to fraction form
    3,687.32/5,528.14 = 1,737.65/x
  3. Step 3: Cross multiply
    3,687.32x = 5,528.14 × 1,737.65
  4. Step 4: Simplify right side
    3,687.32x = 9,605,972.47
  5. Step 5: Solve for x
    x = 9,605,972.47/3,687.32
  6. Step 6: Final answer
    x = 2,605.14

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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.