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Finding the Fourth Proportional to 3,877.47, 5,350.80 and 2,198.82

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Solution

The fourth proportional to 3,877.47, 5,350.80 and 2,198.82 is: 3,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.47 : 5,350.80 = 2,198.82 : x
  2. Step 2: Convert to fraction form
    3,877.47/5,350.80 = 2,198.82/x
  3. Step 3: Cross multiply
    3,877.47x = 5,350.80 × 2,198.82
  4. Step 4: Simplify right side
    3,877.47x = 11,765,446.06
  5. Step 5: Solve for x
    x = 11,765,446.06/3,877.47
  6. Step 6: Final answer
    x = 3,034.31

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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.