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Finding the Fourth Proportional to 3,902.75, 5,385.80 and 2,134.36

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Solution

The fourth proportional to 3,902.75, 5,385.80 and 2,134.36 is: 2,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.75 : 5,385.80 = 2,134.36 : x
  2. Step 2: Convert to fraction form
    3,902.75/5,385.80 = 2,134.36/x
  3. Step 3: Cross multiply
    3,902.75x = 5,385.80 × 2,134.36
  4. Step 4: Simplify right side
    3,902.75x = 11,495,211.95
  5. Step 5: Solve for x
    x = 11,495,211.95/3,902.75
  6. Step 6: Final answer
    x = 2,945.41

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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.