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Finding the Fourth Proportional to 3,403, 4,691.82 and 2,517.31

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Solution

The fourth proportional to 3,403, 4,691.82 and 2,517.31 is: 3,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 4,691.82 = 2,517.31 : x
  2. Step 2: Convert to fraction form
    3,403/4,691.82 = 2,517.31/x
  3. Step 3: Cross multiply
    3,403x = 4,691.82 × 2,517.31
  4. Step 4: Simplify right side
    3,403x = 11,810,765.40
  5. Step 5: Solve for x
    x = 11,810,765.40/3,403
  6. Step 6: Final answer
    x = 3,470.69

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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.