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Finding the Fourth Proportional to 3,728.29, 5,144.60 and 2,049.42

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Solution

The fourth proportional to 3,728.29, 5,144.60 and 2,049.42 is: 2,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.29 : 5,144.60 = 2,049.42 : x
  2. Step 2: Convert to fraction form
    3,728.29/5,144.60 = 2,049.42/x
  3. Step 3: Cross multiply
    3,728.29x = 5,144.60 × 2,049.42
  4. Step 4: Simplify right side
    3,728.29x = 10,543,435.88
  5. Step 5: Solve for x
    x = 10,543,435.88/3,728.29
  6. Step 6: Final answer
    x = 2,827.96

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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.