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Finding the Fourth Proportional to 3,737.39, 5,606.91 and 1,140.53

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Solution

The fourth proportional to 3,737.39, 5,606.91 and 1,140.53 is: 1,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.39 : 5,606.91 = 1,140.53 : x
  2. Step 2: Convert to fraction form
    3,737.39/5,606.91 = 1,140.53/x
  3. Step 3: Cross multiply
    3,737.39x = 5,606.91 × 1,140.53
  4. Step 4: Simplify right side
    3,737.39x = 6,394,849.06
  5. Step 5: Solve for x
    x = 6,394,849.06/3,737.39
  6. Step 6: Final answer
    x = 1,711.05

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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.