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Finding the Fourth Proportional to 3,441.49, 5,163.14 and 2,209.48

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Solution

The fourth proportional to 3,441.49, 5,163.14 and 2,209.48 is: 3,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.49 : 5,163.14 = 2,209.48 : x
  2. Step 2: Convert to fraction form
    3,441.49/5,163.14 = 2,209.48/x
  3. Step 3: Cross multiply
    3,441.49x = 5,163.14 × 2,209.48
  4. Step 4: Simplify right side
    3,441.49x = 11,407,847.18
  5. Step 5: Solve for x
    x = 11,407,847.18/3,441.49
  6. Step 6: Final answer
    x = 3,314.80

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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.