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Finding the Fourth Proportional to 5,751.91, 7,937.40 and 3,234.43

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Solution

The fourth proportional to 5,751.91, 7,937.40 and 3,234.43 is: 4,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.91 : 7,937.40 = 3,234.43 : x
  2. Step 2: Convert to fraction form
    5,751.91/7,937.40 = 3,234.43/x
  3. Step 3: Cross multiply
    5,751.91x = 7,937.40 × 3,234.43
  4. Step 4: Simplify right side
    5,751.91x = 25,672,964.68
  5. Step 5: Solve for x
    x = 25,672,964.68/5,751.91
  6. Step 6: Final answer
    x = 4,463.38

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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.