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Finding the Fourth Proportional to 5,712.26, 7,882.89 and 3,321.38

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Solution

The fourth proportional to 5,712.26, 7,882.89 and 3,321.38 is: 4,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.26 : 7,882.89 = 3,321.38 : x
  2. Step 2: Convert to fraction form
    5,712.26/7,882.89 = 3,321.38/x
  3. Step 3: Cross multiply
    5,712.26x = 7,882.89 × 3,321.38
  4. Step 4: Simplify right side
    5,712.26x = 26,182,073.19
  5. Step 5: Solve for x
    x = 26,182,073.19/5,712.26
  6. Step 6: Final answer
    x = 4,583.49

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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.