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Finding the Fourth Proportional to 5,493.98, 8,243.67 and 2,209.43

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Solution

The fourth proportional to 5,493.98, 8,243.67 and 2,209.43 is: 3,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.98 : 8,243.67 = 2,209.43 : x
  2. Step 2: Convert to fraction form
    5,493.98/8,243.67 = 2,209.43/x
  3. Step 3: Cross multiply
    5,493.98x = 8,243.67 × 2,209.43
  4. Step 4: Simplify right side
    5,493.98x = 18,213,811.81
  5. Step 5: Solve for x
    x = 18,213,811.81/5,493.98
  6. Step 6: Final answer
    x = 3,315.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.