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Finding the Fourth Proportional to 3,136.26, 4,704.30 and 1,286.86

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Solution

The fourth proportional to 3,136.26, 4,704.30 and 1,286.86 is: 1,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.26 : 4,704.30 = 1,286.86 : x
  2. Step 2: Convert to fraction form
    3,136.26/4,704.30 = 1,286.86/x
  3. Step 3: Cross multiply
    3,136.26x = 4,704.30 × 1,286.86
  4. Step 4: Simplify right side
    3,136.26x = 6,053,775.50
  5. Step 5: Solve for x
    x = 6,053,775.50/3,136.26
  6. Step 6: Final answer
    x = 1,930.25

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Why These Related Problems?

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