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Finding the Fourth Proportional to 3,791.33, 5,681.61 and 2,144.42

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Solution

The fourth proportional to 3,791.33, 5,681.61 and 2,144.42 is: 3,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.33 : 5,681.61 = 2,144.42 : x
  2. Step 2: Convert to fraction form
    3,791.33/5,681.61 = 2,144.42/x
  3. Step 3: Cross multiply
    3,791.33x = 5,681.61 × 2,144.42
  4. Step 4: Simplify right side
    3,791.33x = 12,183,729.71
  5. Step 5: Solve for x
    x = 12,183,729.71/3,791.33
  6. Step 6: Final answer
    x = 3,213.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.