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Finding the Fourth Proportional to 5,761.50, 7,948.73 and 3,773.15

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Solution

The fourth proportional to 5,761.50, 7,948.73 and 3,773.15 is: 5,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.50 : 7,948.73 = 3,773.15 : x
  2. Step 2: Convert to fraction form
    5,761.50/7,948.73 = 3,773.15/x
  3. Step 3: Cross multiply
    5,761.50x = 7,948.73 × 3,773.15
  4. Step 4: Simplify right side
    5,761.50x = 29,991,691.99
  5. Step 5: Solve for x
    x = 29,991,691.99/5,761.50
  6. Step 6: Final answer
    x = 5,205.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.