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Finding the Fourth Proportional to 3,172.28, 4,757.97 and 832.46

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Solution

The fourth proportional to 3,172.28, 4,757.97 and 832.46 is: 1,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.28 : 4,757.97 = 832.46 : x
  2. Step 2: Convert to fraction form
    3,172.28/4,757.97 = 832.46/x
  3. Step 3: Cross multiply
    3,172.28x = 4,757.97 × 832.46
  4. Step 4: Simplify right side
    3,172.28x = 3,960,819.71
  5. Step 5: Solve for x
    x = 3,960,819.71/3,172.28
  6. Step 6: Final answer
    x = 1,248.57

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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.