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Finding the Fourth Proportional to 4,229.90, 6,337.65 and 3,610.70

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Solution

The fourth proportional to 4,229.90, 6,337.65 and 3,610.70 is: 5,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.90 : 6,337.65 = 3,610.70 : x
  2. Step 2: Convert to fraction form
    4,229.90/6,337.65 = 3,610.70/x
  3. Step 3: Cross multiply
    4,229.90x = 6,337.65 × 3,610.70
  4. Step 4: Simplify right side
    4,229.90x = 22,883,352.86
  5. Step 5: Solve for x
    x = 22,883,352.86/4,229.90
  6. Step 6: Final answer
    x = 5,409.90

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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.