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Finding the Fourth Proportional to 3,379.62, 5,071.98 and 2,209.32

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Solution

The fourth proportional to 3,379.62, 5,071.98 and 2,209.32 is: 3,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.62 : 5,071.98 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    3,379.62/5,071.98 = 2,209.32/x
  3. Step 3: Cross multiply
    3,379.62x = 5,071.98 × 2,209.32
  4. Step 4: Simplify right side
    3,379.62x = 11,205,626.85
  5. Step 5: Solve for x
    x = 11,205,626.85/3,379.62
  6. Step 6: Final answer
    x = 3,315.65

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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.