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Finding the Fourth Proportional to 5,967.38, 8,234.97 and 3,314.78

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Solution

The fourth proportional to 5,967.38, 8,234.97 and 3,314.78 is: 4,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.38 : 8,234.97 = 3,314.78 : x
  2. Step 2: Convert to fraction form
    5,967.38/8,234.97 = 3,314.78/x
  3. Step 3: Cross multiply
    5,967.38x = 8,234.97 × 3,314.78
  4. Step 4: Simplify right side
    5,967.38x = 27,297,113.86
  5. Step 5: Solve for x
    x = 27,297,113.86/5,967.38
  6. Step 6: Final answer
    x = 4,574.39

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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.