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Finding the Fourth Proportional to 5,839.67, 8,055.97 and 3,951.90

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Solution

The fourth proportional to 5,839.67, 8,055.97 and 3,951.90 is: 5,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.67 : 8,055.97 = 3,951.90 : x
  2. Step 2: Convert to fraction form
    5,839.67/8,055.97 = 3,951.90/x
  3. Step 3: Cross multiply
    5,839.67x = 8,055.97 × 3,951.90
  4. Step 4: Simplify right side
    5,839.67x = 31,836,377.96
  5. Step 5: Solve for x
    x = 31,836,377.96/5,839.67
  6. Step 6: Final answer
    x = 5,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.