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Finding the Fourth Proportional to 3,902.56, 5,385.42 and 2,134.12

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Solution

The fourth proportional to 3,902.56, 5,385.42 and 2,134.12 is: 2,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.56 : 5,385.42 = 2,134.12 : x
  2. Step 2: Convert to fraction form
    3,902.56/5,385.42 = 2,134.12/x
  3. Step 3: Cross multiply
    3,902.56x = 5,385.42 × 2,134.12
  4. Step 4: Simplify right side
    3,902.56x = 11,493,132.53
  5. Step 5: Solve for x
    x = 11,493,132.53/3,902.56
  6. Step 6: Final answer
    x = 2,945.02

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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.