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Finding the Fourth Proportional to 4,124.70, 5,691.96 and 2,947.74

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Solution

The fourth proportional to 4,124.70, 5,691.96 and 2,947.74 is: 4,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.70 : 5,691.96 = 2,947.74 : x
  2. Step 2: Convert to fraction form
    4,124.70/5,691.96 = 2,947.74/x
  3. Step 3: Cross multiply
    4,124.70x = 5,691.96 × 2,947.74
  4. Step 4: Simplify right side
    4,124.70x = 16,778,418.17
  5. Step 5: Solve for x
    x = 16,778,418.17/4,124.70
  6. Step 6: Final answer
    x = 4,067.79

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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.