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Finding the Fourth Proportional to 3,923.70, 5,414.84 and 2,244.98

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Solution

The fourth proportional to 3,923.70, 5,414.84 and 2,244.98 is: 3,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.70 : 5,414.84 = 2,244.98 : x
  2. Step 2: Convert to fraction form
    3,923.70/5,414.84 = 2,244.98/x
  3. Step 3: Cross multiply
    3,923.70x = 5,414.84 × 2,244.98
  4. Step 4: Simplify right side
    3,923.70x = 12,156,169.20
  5. Step 5: Solve for x
    x = 12,156,169.20/3,923.70
  6. Step 6: Final answer
    x = 3,098.14

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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.