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Finding the Fourth Proportional to 3,728.28, 5,590.80 and 2,169.84

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Solution

The fourth proportional to 3,728.28, 5,590.80 and 2,169.84 is: 3,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.28 : 5,590.80 = 2,169.84 : x
  2. Step 2: Convert to fraction form
    3,728.28/5,590.80 = 2,169.84/x
  3. Step 3: Cross multiply
    3,728.28x = 5,590.80 × 2,169.84
  4. Step 4: Simplify right side
    3,728.28x = 12,131,141.47
  5. Step 5: Solve for x
    x = 12,131,141.47/3,728.28
  6. Step 6: Final answer
    x = 3,253.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.