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Finding the Fourth Proportional to 3,761.97, 5,648.43 and 2,777.82

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Solution

The fourth proportional to 3,761.97, 5,648.43 and 2,777.82 is: 4,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.97 : 5,648.43 = 2,777.82 : x
  2. Step 2: Convert to fraction form
    3,761.97/5,648.43 = 2,777.82/x
  3. Step 3: Cross multiply
    3,761.97x = 5,648.43 × 2,777.82
  4. Step 4: Simplify right side
    3,761.97x = 15,690,353.42
  5. Step 5: Solve for x
    x = 15,690,353.42/3,761.97
  6. Step 6: Final answer
    x = 4,170.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.