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Finding the Fourth Proportional to 3,456.71, 4,772.38 and 2,132.23

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Solution

The fourth proportional to 3,456.71, 4,772.38 and 2,132.23 is: 2,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.71 : 4,772.38 = 2,132.23 : x
  2. Step 2: Convert to fraction form
    3,456.71/4,772.38 = 2,132.23/x
  3. Step 3: Cross multiply
    3,456.71x = 4,772.38 × 2,132.23
  4. Step 4: Simplify right side
    3,456.71x = 10,175,782.61
  5. Step 5: Solve for x
    x = 10,175,782.61/3,456.71
  6. Step 6: Final answer
    x = 2,943.78

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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.