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Finding the Fourth Proportional to 5,299.56, 7,945.22 and 2,375.82

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Solution

The fourth proportional to 5,299.56, 7,945.22 and 2,375.82 is: 3,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.56 : 7,945.22 = 2,375.82 : x
  2. Step 2: Convert to fraction form
    5,299.56/7,945.22 = 2,375.82/x
  3. Step 3: Cross multiply
    5,299.56x = 7,945.22 × 2,375.82
  4. Step 4: Simplify right side
    5,299.56x = 18,876,400.70
  5. Step 5: Solve for x
    x = 18,876,400.70/5,299.56
  6. Step 6: Final answer
    x = 3,561.88

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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.