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Finding the Fourth Proportional to 3,781.97, 5,218.35 and 2,209.76

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Solution

The fourth proportional to 3,781.97, 5,218.35 and 2,209.76 is: 3,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.97 : 5,218.35 = 2,209.76 : x
  2. Step 2: Convert to fraction form
    3,781.97/5,218.35 = 2,209.76/x
  3. Step 3: Cross multiply
    3,781.97x = 5,218.35 × 2,209.76
  4. Step 4: Simplify right side
    3,781.97x = 11,531,314.14
  5. Step 5: Solve for x
    x = 11,531,314.14/3,781.97
  6. Step 6: Final answer
    x = 3,049.02

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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.