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Finding the Fourth Proportional to 3,791.70, 5,232.56 and 2,198.66

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Solution

The fourth proportional to 3,791.70, 5,232.56 and 2,198.66 is: 3,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.70 : 5,232.56 = 2,198.66 : x
  2. Step 2: Convert to fraction form
    3,791.70/5,232.56 = 2,198.66/x
  3. Step 3: Cross multiply
    3,791.70x = 5,232.56 × 2,198.66
  4. Step 4: Simplify right side
    3,791.70x = 11,504,638.95
  5. Step 5: Solve for x
    x = 11,504,638.95/3,791.70
  6. Step 6: Final answer
    x = 3,034.16

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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.