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Finding the Fourth Proportional to 3,737.36, 5,152.17 and 2,614.82

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Solution

The fourth proportional to 3,737.36, 5,152.17 and 2,614.82 is: 3,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.36 : 5,152.17 = 2,614.82 : x
  2. Step 2: Convert to fraction form
    3,737.36/5,152.17 = 2,614.82/x
  3. Step 3: Cross multiply
    3,737.36x = 5,152.17 × 2,614.82
  4. Step 4: Simplify right side
    3,737.36x = 13,471,997.16
  5. Step 5: Solve for x
    x = 13,471,997.16/3,737.36
  6. Step 6: Final answer
    x = 3,604.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.