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Finding the Fourth Proportional to 4,061.96, 5,605.50 and 2,198.96

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Solution

The fourth proportional to 4,061.96, 5,605.50 and 2,198.96 is: 3,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.96 : 5,605.50 = 2,198.96 : x
  2. Step 2: Convert to fraction form
    4,061.96/5,605.50 = 2,198.96/x
  3. Step 3: Cross multiply
    4,061.96x = 5,605.50 × 2,198.96
  4. Step 4: Simplify right side
    4,061.96x = 12,326,242.25
  5. Step 5: Solve for x
    x = 12,326,242.25/4,061.96
  6. Step 6: Final answer
    x = 3,034.56

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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.