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Finding the Fourth Proportional to 3,747.62, 5,614.94 and 2,976.50

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Solution

The fourth proportional to 3,747.62, 5,614.94 and 2,976.50 is: 4,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.62 : 5,614.94 = 2,976.50 : x
  2. Step 2: Convert to fraction form
    3,747.62/5,614.94 = 2,976.50/x
  3. Step 3: Cross multiply
    3,747.62x = 5,614.94 × 2,976.50
  4. Step 4: Simplify right side
    3,747.62x = 16,712,868.91
  5. Step 5: Solve for x
    x = 16,712,868.91/3,747.62
  6. Step 6: Final answer
    x = 4,459.60

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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.