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Finding the Fourth Proportional to 3,391.52, 5,071.41 and 2,414.66

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Solution

The fourth proportional to 3,391.52, 5,071.41 and 2,414.66 is: 3,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.52 : 5,071.41 = 2,414.66 : x
  2. Step 2: Convert to fraction form
    3,391.52/5,071.41 = 2,414.66/x
  3. Step 3: Cross multiply
    3,391.52x = 5,071.41 × 2,414.66
  4. Step 4: Simplify right side
    3,391.52x = 12,245,730.87
  5. Step 5: Solve for x
    x = 12,245,730.87/3,391.52
  6. Step 6: Final answer
    x = 3,610.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.