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Finding the Fourth Proportional to 5,496.50, 8,245.96 and 2,209.80

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Solution

The fourth proportional to 5,496.50, 8,245.96 and 2,209.80 is: 3,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.50 : 8,245.96 = 2,209.80 : x
  2. Step 2: Convert to fraction form
    5,496.50/8,245.96 = 2,209.80/x
  3. Step 3: Cross multiply
    5,496.50x = 8,245.96 × 2,209.80
  4. Step 4: Simplify right side
    5,496.50x = 18,221,922.41
  5. Step 5: Solve for x
    x = 18,221,922.41/5,496.50
  6. Step 6: Final answer
    x = 3,315.19

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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.