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Finding the Fourth Proportional to 5,726.92, 7,906.80 and 4,469.28

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Solution

The fourth proportional to 5,726.92, 7,906.80 and 4,469.28 is: 6,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.92 : 7,906.80 = 4,469.28 : x
  2. Step 2: Convert to fraction form
    5,726.92/7,906.80 = 4,469.28/x
  3. Step 3: Cross multiply
    5,726.92x = 7,906.80 × 4,469.28
  4. Step 4: Simplify right side
    5,726.92x = 35,337,703.10
  5. Step 5: Solve for x
    x = 35,337,703.10/5,726.92
  6. Step 6: Final answer
    x = 6,170.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.