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Finding the Fourth Proportional to 5,902.97, 8,146.11 and 3,385.13

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Solution

The fourth proportional to 5,902.97, 8,146.11 and 3,385.13 is: 4,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.97 : 8,146.11 = 3,385.13 : x
  2. Step 2: Convert to fraction form
    5,902.97/8,146.11 = 3,385.13/x
  3. Step 3: Cross multiply
    5,902.97x = 8,146.11 × 3,385.13
  4. Step 4: Simplify right side
    5,902.97x = 27,575,600.61
  5. Step 5: Solve for x
    x = 27,575,600.61/5,902.97
  6. Step 6: Final answer
    x = 4,671.48

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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.