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Finding the Fourth Proportional to 6,208.78, 8,568.09 and 3,414.22

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Solution

The fourth proportional to 6,208.78, 8,568.09 and 3,414.22 is: 4,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.78 : 8,568.09 = 3,414.22 : x
  2. Step 2: Convert to fraction form
    6,208.78/8,568.09 = 3,414.22/x
  3. Step 3: Cross multiply
    6,208.78x = 8,568.09 × 3,414.22
  4. Step 4: Simplify right side
    6,208.78x = 29,253,344.24
  5. Step 5: Solve for x
    x = 29,253,344.24/6,208.78
  6. Step 6: Final answer
    x = 4,711.61

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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.