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Finding the Fourth Proportional to 3,227.91, 4,842.24 and 1,379.24

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Solution

The fourth proportional to 3,227.91, 4,842.24 and 1,379.24 is: 2,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.91 : 4,842.24 = 1,379.24 : x
  2. Step 2: Convert to fraction form
    3,227.91/4,842.24 = 1,379.24/x
  3. Step 3: Cross multiply
    3,227.91x = 4,842.24 × 1,379.24
  4. Step 4: Simplify right side
    3,227.91x = 6,678,611.10
  5. Step 5: Solve for x
    x = 6,678,611.10/3,227.91
  6. Step 6: Final answer
    x = 2,069.02

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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.