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Finding the Fourth Proportional to 3,469.92, 5,200.80 and 2,496.48

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Solution

The fourth proportional to 3,469.92, 5,200.80 and 2,496.48 is: 3,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.92 : 5,200.80 = 2,496.48 : x
  2. Step 2: Convert to fraction form
    3,469.92/5,200.80 = 2,496.48/x
  3. Step 3: Cross multiply
    3,469.92x = 5,200.80 × 2,496.48
  4. Step 4: Simplify right side
    3,469.92x = 12,983,693.18
  5. Step 5: Solve for x
    x = 12,983,693.18/3,469.92
  6. Step 6: Final answer
    x = 3,741.78

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Why These Related Problems?

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