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Finding the Fourth Proportional to 4,092.88, 5,648.18 and 2,229.88

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Solution

The fourth proportional to 4,092.88, 5,648.18 and 2,229.88 is: 3,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.88 : 5,648.18 = 2,229.88 : x
  2. Step 2: Convert to fraction form
    4,092.88/5,648.18 = 2,229.88/x
  3. Step 3: Cross multiply
    4,092.88x = 5,648.18 × 2,229.88
  4. Step 4: Simplify right side
    4,092.88x = 12,594,763.62
  5. Step 5: Solve for x
    x = 12,594,763.62/4,092.88
  6. Step 6: Final answer
    x = 3,077.24

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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.