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Finding the Fourth Proportional to 6,034.91, 8,328.02 and 3,517.97

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Solution

The fourth proportional to 6,034.91, 8,328.02 and 3,517.97 is: 4,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.91 : 8,328.02 = 3,517.97 : x
  2. Step 2: Convert to fraction form
    6,034.91/8,328.02 = 3,517.97/x
  3. Step 3: Cross multiply
    6,034.91x = 8,328.02 × 3,517.97
  4. Step 4: Simplify right side
    6,034.91x = 29,297,665.29
  5. Step 5: Solve for x
    x = 29,297,665.29/6,034.91
  6. Step 6: Final answer
    x = 4,854.70

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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.