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Finding the Fourth Proportional to 3,469.46, 4,778.10 and 3,247.11

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Solution

The fourth proportional to 3,469.46, 4,778.10 and 3,247.11 is: 4,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.46 : 4,778.10 = 3,247.11 : x
  2. Step 2: Convert to fraction form
    3,469.46/4,778.10 = 3,247.11/x
  3. Step 3: Cross multiply
    3,469.46x = 4,778.10 × 3,247.11
  4. Step 4: Simplify right side
    3,469.46x = 15,515,016.29
  5. Step 5: Solve for x
    x = 15,515,016.29/3,469.46
  6. Step 6: Final answer
    x = 4,471.89

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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.