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Finding the Fourth Proportional to 5,324.28, 7,979.22 and 4,170.36

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Solution

The fourth proportional to 5,324.28, 7,979.22 and 4,170.36 is: 6,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.28 : 7,979.22 = 4,170.36 : x
  2. Step 2: Convert to fraction form
    5,324.28/7,979.22 = 4,170.36/x
  3. Step 3: Cross multiply
    5,324.28x = 7,979.22 × 4,170.36
  4. Step 4: Simplify right side
    5,324.28x = 33,276,219.92
  5. Step 5: Solve for x
    x = 33,276,219.92/5,324.28
  6. Step 6: Final answer
    x = 6,249.90

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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.