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Finding the Fourth Proportional to 5,745.38, 7,929.30 and 3,227.49

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Solution

The fourth proportional to 5,745.38, 7,929.30 and 3,227.49 is: 4,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.38 : 7,929.30 = 3,227.49 : x
  2. Step 2: Convert to fraction form
    5,745.38/7,929.30 = 3,227.49/x
  3. Step 3: Cross multiply
    5,745.38x = 7,929.30 × 3,227.49
  4. Step 4: Simplify right side
    5,745.38x = 25,591,736.46
  5. Step 5: Solve for x
    x = 25,591,736.46/5,745.38
  6. Step 6: Final answer
    x = 4,454.32

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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.