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Finding the Fourth Proportional to 3,791.23, 5,231.95 and 2,198

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Solution

The fourth proportional to 3,791.23, 5,231.95 and 2,198 is: 3,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.23 : 5,231.95 = 2,198 : x
  2. Step 2: Convert to fraction form
    3,791.23/5,231.95 = 2,198/x
  3. Step 3: Cross multiply
    3,791.23x = 5,231.95 × 2,198
  4. Step 4: Simplify right side
    3,791.23x = 11,499,826.10
  5. Step 5: Solve for x
    x = 11,499,826.10/3,791.23
  6. Step 6: Final answer
    x = 3,033.27

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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.