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Finding the Fourth Proportional to 4,327.50, 5,960.28 and 3,737

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Solution

The fourth proportional to 4,327.50, 5,960.28 and 3,737 is: 5,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.50 : 5,960.28 = 3,737 : x
  2. Step 2: Convert to fraction form
    4,327.50/5,960.28 = 3,737/x
  3. Step 3: Cross multiply
    4,327.50x = 5,960.28 × 3,737
  4. Step 4: Simplify right side
    4,327.50x = 22,273,566.36
  5. Step 5: Solve for x
    x = 22,273,566.36/4,327.50
  6. Step 6: Final answer
    x = 5,146.98

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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.