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Finding the Fourth Proportional to 3,902.55, 5,385.47 and 2,134.14

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Solution

The fourth proportional to 3,902.55, 5,385.47 and 2,134.14 is: 2,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.55 : 5,385.47 = 2,134.14 : x
  2. Step 2: Convert to fraction form
    3,902.55/5,385.47 = 2,134.14/x
  3. Step 3: Cross multiply
    3,902.55x = 5,385.47 × 2,134.14
  4. Step 4: Simplify right side
    3,902.55x = 11,493,336.28
  5. Step 5: Solve for x
    x = 11,493,336.28/3,902.55
  6. Step 6: Final answer
    x = 2,945.08

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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.