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Finding the Fourth Proportional to 4,170.91, 5,755.76 and 2,282.49

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Solution

The fourth proportional to 4,170.91, 5,755.76 and 2,282.49 is: 3,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.91 : 5,755.76 = 2,282.49 : x
  2. Step 2: Convert to fraction form
    4,170.91/5,755.76 = 2,282.49/x
  3. Step 3: Cross multiply
    4,170.91x = 5,755.76 × 2,282.49
  4. Step 4: Simplify right side
    4,170.91x = 13,137,464.64
  5. Step 5: Solve for x
    x = 13,137,464.64/4,170.91
  6. Step 6: Final answer
    x = 3,149.78

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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.