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Finding the Fourth Proportional to 3,241.92, 4,469.94 and 2,711.52

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Solution

The fourth proportional to 3,241.92, 4,469.94 and 2,711.52 is: 3,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.92 : 4,469.94 = 2,711.52 : x
  2. Step 2: Convert to fraction form
    3,241.92/4,469.94 = 2,711.52/x
  3. Step 3: Cross multiply
    3,241.92x = 4,469.94 × 2,711.52
  4. Step 4: Simplify right side
    3,241.92x = 12,120,331.71
  5. Step 5: Solve for x
    x = 12,120,331.71/3,241.92
  6. Step 6: Final answer
    x = 3,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.