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Finding the Fourth Proportional to 3,469.88, 5,205.12 and 1,129.80

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Solution

The fourth proportional to 3,469.88, 5,205.12 and 1,129.80 is: 1,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.88 : 5,205.12 = 1,129.80 : x
  2. Step 2: Convert to fraction form
    3,469.88/5,205.12 = 1,129.80/x
  3. Step 3: Cross multiply
    3,469.88x = 5,205.12 × 1,129.80
  4. Step 4: Simplify right side
    3,469.88x = 5,880,744.58
  5. Step 5: Solve for x
    x = 5,880,744.58/3,469.88
  6. Step 6: Final answer
    x = 1,694.80

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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.