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Finding the Fourth Proportional to 3,781.71, 5,218.43 and 2,209.50

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Solution

The fourth proportional to 3,781.71, 5,218.43 and 2,209.50 is: 3,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.71 : 5,218.43 = 2,209.50 : x
  2. Step 2: Convert to fraction form
    3,781.71/5,218.43 = 2,209.50/x
  3. Step 3: Cross multiply
    3,781.71x = 5,218.43 × 2,209.50
  4. Step 4: Simplify right side
    3,781.71x = 11,530,110.04
  5. Step 5: Solve for x
    x = 11,530,110.04/3,781.71
  6. Step 6: Final answer
    x = 3,048.91

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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.