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Finding the Fourth Proportional to 3,446.16, 4,755.84 and 2,049.12

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Solution

The fourth proportional to 3,446.16, 4,755.84 and 2,049.12 is: 2,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.16 : 4,755.84 = 2,049.12 : x
  2. Step 2: Convert to fraction form
    3,446.16/4,755.84 = 2,049.12/x
  3. Step 3: Cross multiply
    3,446.16x = 4,755.84 × 2,049.12
  4. Step 4: Simplify right side
    3,446.16x = 9,745,286.86
  5. Step 5: Solve for x
    x = 9,745,286.86/3,446.16
  6. Step 6: Final answer
    x = 2,827.87

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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.