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Finding the Fourth Proportional to 4,061.71, 5,605.16 and 2,198.71

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Solution

The fourth proportional to 4,061.71, 5,605.16 and 2,198.71 is: 3,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.71 : 5,605.16 = 2,198.71 : x
  2. Step 2: Convert to fraction form
    4,061.71/5,605.16 = 2,198.71/x
  3. Step 3: Cross multiply
    4,061.71x = 5,605.16 × 2,198.71
  4. Step 4: Simplify right side
    4,061.71x = 12,324,095.26
  5. Step 5: Solve for x
    x = 12,324,095.26/4,061.71
  6. Step 6: Final answer
    x = 3,034.22

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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.