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Finding the Fourth Proportional to 3,876.82, 5,350.08 and 2,198.14

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Solution

The fourth proportional to 3,876.82, 5,350.08 and 2,198.14 is: 3,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.82 : 5,350.08 = 2,198.14 : x
  2. Step 2: Convert to fraction form
    3,876.82/5,350.08 = 2,198.14/x
  3. Step 3: Cross multiply
    3,876.82x = 5,350.08 × 2,198.14
  4. Step 4: Simplify right side
    3,876.82x = 11,760,224.85
  5. Step 5: Solve for x
    x = 11,760,224.85/3,876.82
  6. Step 6: Final answer
    x = 3,033.47

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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.