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Finding the Fourth Proportional to 5,144.70, 7,717.98 and 3,927.24

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Solution

The fourth proportional to 5,144.70, 7,717.98 and 3,927.24 is: 5,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.70 : 7,717.98 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    5,144.70/7,717.98 = 3,927.24/x
  3. Step 3: Cross multiply
    5,144.70x = 7,717.98 × 3,927.24
  4. Step 4: Simplify right side
    5,144.70x = 30,310,359.78
  5. Step 5: Solve for x
    x = 30,310,359.78/5,144.70
  6. Step 6: Final answer
    x = 5,891.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.