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Finding the Fourth Proportional to 3,136.27, 4,704.41 and 1,287.04

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Solution

The fourth proportional to 3,136.27, 4,704.41 and 1,287.04 is: 1,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.27 : 4,704.41 = 1,287.04 : x
  2. Step 2: Convert to fraction form
    3,136.27/4,704.41 = 1,287.04/x
  3. Step 3: Cross multiply
    3,136.27x = 4,704.41 × 1,287.04
  4. Step 4: Simplify right side
    3,136.27x = 6,054,763.85
  5. Step 5: Solve for x
    x = 6,054,763.85/3,136.27
  6. Step 6: Final answer
    x = 1,930.56

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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.