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Finding the Fourth Proportional to 5,612.66, 7,747.17 and 3,255.38

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Solution

The fourth proportional to 5,612.66, 7,747.17 and 3,255.38 is: 4,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.66 : 7,747.17 = 3,255.38 : x
  2. Step 2: Convert to fraction form
    5,612.66/7,747.17 = 3,255.38/x
  3. Step 3: Cross multiply
    5,612.66x = 7,747.17 × 3,255.38
  4. Step 4: Simplify right side
    5,612.66x = 25,219,982.27
  5. Step 5: Solve for x
    x = 25,219,982.27/5,612.66
  6. Step 6: Final answer
    x = 4,493.41

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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.