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Finding the Fourth Proportional to 5,891.75, 8,130.41 and 3,239.15

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Solution

The fourth proportional to 5,891.75, 8,130.41 and 3,239.15 is: 4,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.75 : 8,130.41 = 3,239.15 : x
  2. Step 2: Convert to fraction form
    5,891.75/8,130.41 = 3,239.15/x
  3. Step 3: Cross multiply
    5,891.75x = 8,130.41 × 3,239.15
  4. Step 4: Simplify right side
    5,891.75x = 26,335,591.07
  5. Step 5: Solve for x
    x = 26,335,591.07/5,891.75
  6. Step 6: Final answer
    x = 4,469.91

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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.