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Finding the Fourth Proportional to 3,136.50, 4,704.60 and 796.56

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Solution

The fourth proportional to 3,136.50, 4,704.60 and 796.56 is: 1,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 4,704.60 = 796.56 : x
  2. Step 2: Convert to fraction form
    3,136.50/4,704.60 = 796.56/x
  3. Step 3: Cross multiply
    3,136.50x = 4,704.60 × 796.56
  4. Step 4: Simplify right side
    3,136.50x = 3,747,496.18
  5. Step 5: Solve for x
    x = 3,747,496.18/3,136.50
  6. Step 6: Final answer
    x = 1,194.80

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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.