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Finding the Fourth Proportional to 3,136.39, 4,704.58 and 796.57

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Solution

The fourth proportional to 3,136.39, 4,704.58 and 796.57 is: 1,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.39 : 4,704.58 = 796.57 : x
  2. Step 2: Convert to fraction form
    3,136.39/4,704.58 = 796.57/x
  3. Step 3: Cross multiply
    3,136.39x = 4,704.58 × 796.57
  4. Step 4: Simplify right side
    3,136.39x = 3,747,510.64
  5. Step 5: Solve for x
    x = 3,747,510.64/3,136.39
  6. Step 6: Final answer
    x = 1,194.85

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1.5x scale

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.