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Finding the Fourth Proportional to 5,358.12, 8,040.24 and 3,171.12

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Solution

The fourth proportional to 5,358.12, 8,040.24 and 3,171.12 is: 4,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.12 : 8,040.24 = 3,171.12 : x
  2. Step 2: Convert to fraction form
    5,358.12/8,040.24 = 3,171.12/x
  3. Step 3: Cross multiply
    5,358.12x = 8,040.24 × 3,171.12
  4. Step 4: Simplify right side
    5,358.12x = 25,496,565.87
  5. Step 5: Solve for x
    x = 25,496,565.87/5,358.12
  6. Step 6: Final answer
    x = 4,758.49

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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.