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Finding the Fourth Proportional to 3,747.71, 5,621.57 and 3,266.57

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Solution

The fourth proportional to 3,747.71, 5,621.57 and 3,266.57 is: 4,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.71 : 5,621.57 = 3,266.57 : x
  2. Step 2: Convert to fraction form
    3,747.71/5,621.57 = 3,266.57/x
  3. Step 3: Cross multiply
    3,747.71x = 5,621.57 × 3,266.57
  4. Step 4: Simplify right side
    3,747.71x = 18,363,207.47
  5. Step 5: Solve for x
    x = 18,363,207.47/3,747.71
  6. Step 6: Final answer
    x = 4,899.85

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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.