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Finding the Fourth Proportional to 5,239.98, 7,231.19 and 2,882.16

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Solution

The fourth proportional to 5,239.98, 7,231.19 and 2,882.16 is: 3,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.98 : 7,231.19 = 2,882.16 : x
  2. Step 2: Convert to fraction form
    5,239.98/7,231.19 = 2,882.16/x
  3. Step 3: Cross multiply
    5,239.98x = 7,231.19 × 2,882.16
  4. Step 4: Simplify right side
    5,239.98x = 20,841,432.16
  5. Step 5: Solve for x
    x = 20,841,432.16/5,239.98
  6. Step 6: Final answer
    x = 3,977.39

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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.