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Finding the Fourth Proportional to 5,939.69, 8,197.64 and 3,421.31

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Solution

The fourth proportional to 5,939.69, 8,197.64 and 3,421.31 is: 4,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.69 : 8,197.64 = 3,421.31 : x
  2. Step 2: Convert to fraction form
    5,939.69/8,197.64 = 3,421.31/x
  3. Step 3: Cross multiply
    5,939.69x = 8,197.64 × 3,421.31
  4. Step 4: Simplify right side
    5,939.69x = 28,046,691.61
  5. Step 5: Solve for x
    x = 28,046,691.61/5,939.69
  6. Step 6: Final answer
    x = 4,721.91

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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.