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Finding the Fourth Proportional to 8,638.97, 12,958.46 and 3,448.49

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Solution

The fourth proportional to 8,638.97, 12,958.46 and 3,448.49 is: 5,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.97 : 12,958.46 = 3,448.49 : x
  2. Step 2: Convert to fraction form
    8,638.97/12,958.46 = 3,448.49/x
  3. Step 3: Cross multiply
    8,638.97x = 12,958.46 × 3,448.49
  4. Step 4: Simplify right side
    8,638.97x = 44,687,037.69
  5. Step 5: Solve for x
    x = 44,687,037.69/8,638.97
  6. Step 6: Final answer
    x = 5,172.73

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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.