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Finding the Fourth Proportional to 3,737.54, 5,606.31 and 3,086.91

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Solution

The fourth proportional to 3,737.54, 5,606.31 and 3,086.91 is: 4,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.54 : 5,606.31 = 3,086.91 : x
  2. Step 2: Convert to fraction form
    3,737.54/5,606.31 = 3,086.91/x
  3. Step 3: Cross multiply
    3,737.54x = 5,606.31 × 3,086.91
  4. Step 4: Simplify right side
    3,737.54x = 17,306,185.98
  5. Step 5: Solve for x
    x = 17,306,185.98/3,737.54
  6. Step 6: Final answer
    x = 4,630.37

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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.