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Finding the Fourth Proportional to 5,243.22, 7,866.99 and 3,863.52

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Solution

The fourth proportional to 5,243.22, 7,866.99 and 3,863.52 is: 5,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.22 : 7,866.99 = 3,863.52 : x
  2. Step 2: Convert to fraction form
    5,243.22/7,866.99 = 3,863.52/x
  3. Step 3: Cross multiply
    5,243.22x = 7,866.99 × 3,863.52
  4. Step 4: Simplify right side
    5,243.22x = 30,394,273.20
  5. Step 5: Solve for x
    x = 30,394,273.20/5,243.22
  6. Step 6: Final answer
    x = 5,796.87

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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.