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Finding the Fourth Proportional to 3,900, 5,382 and 2,244.96

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Solution

The fourth proportional to 3,900, 5,382 and 2,244.96 is: 3,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900 : 5,382 = 2,244.96 : x
  2. Step 2: Convert to fraction form
    3,900/5,382 = 2,244.96/x
  3. Step 3: Cross multiply
    3,900x = 5,382 × 2,244.96
  4. Step 4: Simplify right side
    3,900x = 12,082,374.72
  5. Step 5: Solve for x
    x = 12,082,374.72/3,900
  6. Step 6: Final answer
    x = 3,098.04

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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.