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Finding the Fourth Proportional to 5,761.88, 7,951.50 and 3,404.02

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Solution

The fourth proportional to 5,761.88, 7,951.50 and 3,404.02 is: 4,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.88 : 7,951.50 = 3,404.02 : x
  2. Step 2: Convert to fraction form
    5,761.88/7,951.50 = 3,404.02/x
  3. Step 3: Cross multiply
    5,761.88x = 7,951.50 × 3,404.02
  4. Step 4: Simplify right side
    5,761.88x = 27,067,060.06
  5. Step 5: Solve for x
    x = 27,067,060.06/5,761.88
  6. Step 6: Final answer
    x = 4,697.61

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