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Finding the Fourth Proportional to 3,469.71, 4,781.12 and 2,472.87

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Solution

The fourth proportional to 3,469.71, 4,781.12 and 2,472.87 is: 3,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.71 : 4,781.12 = 2,472.87 : x
  2. Step 2: Convert to fraction form
    3,469.71/4,781.12 = 2,472.87/x
  3. Step 3: Cross multiply
    3,469.71x = 4,781.12 × 2,472.87
  4. Step 4: Simplify right side
    3,469.71x = 11,823,075.85
  5. Step 5: Solve for x
    x = 11,823,075.85/3,469.71
  6. Step 6: Final answer
    x = 3,407.51

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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.