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Finding the Fourth Proportional to 3,932.96, 5,902.34 and 2,755.22

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Solution

The fourth proportional to 3,932.96, 5,902.34 and 2,755.22 is: 4,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,902.34 = 2,755.22 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,902.34 = 2,755.22/x
  3. Step 3: Cross multiply
    3,932.96x = 5,902.34 × 2,755.22
  4. Step 4: Simplify right side
    3,932.96x = 16,262,201.93
  5. Step 5: Solve for x
    x = 16,262,201.93/3,932.96
  6. Step 6: Final answer
    x = 4,134.86

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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.