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Finding the Fourth Proportional to 5,939.69, 8,197.25 and 3,287.94

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Solution

The fourth proportional to 5,939.69, 8,197.25 and 3,287.94 is: 4,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.69 : 8,197.25 = 3,287.94 : x
  2. Step 2: Convert to fraction form
    5,939.69/8,197.25 = 3,287.94/x
  3. Step 3: Cross multiply
    5,939.69x = 8,197.25 × 3,287.94
  4. Step 4: Simplify right side
    5,939.69x = 26,952,049.73
  5. Step 5: Solve for x
    x = 26,952,049.73/5,939.69
  6. Step 6: Final answer
    x = 4,537.62

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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.