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Finding the Fourth Proportional to 5,617.38, 7,750.17 and 3,227.07

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Solution

The fourth proportional to 5,617.38, 7,750.17 and 3,227.07 is: 4,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.38 : 7,750.17 = 3,227.07 : x
  2. Step 2: Convert to fraction form
    5,617.38/7,750.17 = 3,227.07/x
  3. Step 3: Cross multiply
    5,617.38x = 7,750.17 × 3,227.07
  4. Step 4: Simplify right side
    5,617.38x = 25,010,341.10
  5. Step 5: Solve for x
    x = 25,010,341.10/5,617.38
  6. Step 6: Final answer
    x = 4,452.31

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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.