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Finding the Fourth Proportional to 5,755.53, 8,635.92 and 3,420.15

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Solution

The fourth proportional to 5,755.53, 8,635.92 and 3,420.15 is: 5,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.53 : 8,635.92 = 3,420.15 : x
  2. Step 2: Convert to fraction form
    5,755.53/8,635.92 = 3,420.15/x
  3. Step 3: Cross multiply
    5,755.53x = 8,635.92 × 3,420.15
  4. Step 4: Simplify right side
    5,755.53x = 29,536,141.79
  5. Step 5: Solve for x
    x = 29,536,141.79/5,755.53
  6. Step 6: Final answer
    x = 5,131.78

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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.