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Finding the Fourth Proportional to 3,877.79, 5,350.90 and 2,198.86

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Solution

The fourth proportional to 3,877.79, 5,350.90 and 2,198.86 is: 3,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.79 : 5,350.90 = 2,198.86 : x
  2. Step 2: Convert to fraction form
    3,877.79/5,350.90 = 2,198.86/x
  3. Step 3: Cross multiply
    3,877.79x = 5,350.90 × 2,198.86
  4. Step 4: Simplify right side
    3,877.79x = 11,765,879.97
  5. Step 5: Solve for x
    x = 11,765,879.97/3,877.79
  6. Step 6: Final answer
    x = 3,034.17

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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.