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Finding the Fourth Proportional to 4,902.57, 7,352.28 and 1,614.78

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Solution

The fourth proportional to 4,902.57, 7,352.28 and 1,614.78 is: 2,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.57 : 7,352.28 = 1,614.78 : x
  2. Step 2: Convert to fraction form
    4,902.57/7,352.28 = 1,614.78/x
  3. Step 3: Cross multiply
    4,902.57x = 7,352.28 × 1,614.78
  4. Step 4: Simplify right side
    4,902.57x = 11,872,314.70
  5. Step 5: Solve for x
    x = 11,872,314.70/4,902.57
  6. Step 6: Final answer
    x = 2,421.65

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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.