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Finding the Fourth Proportional to 3,126.47, 4,691.15 and 1,371.25

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Solution

The fourth proportional to 3,126.47, 4,691.15 and 1,371.25 is: 2,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.47 : 4,691.15 = 1,371.25 : x
  2. Step 2: Convert to fraction form
    3,126.47/4,691.15 = 1,371.25/x
  3. Step 3: Cross multiply
    3,126.47x = 4,691.15 × 1,371.25
  4. Step 4: Simplify right side
    3,126.47x = 6,432,717.20
  5. Step 5: Solve for x
    x = 6,432,717.20/3,126.47
  6. Step 6: Final answer
    x = 2,057.50

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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.