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Finding the Fourth Proportional to 3,136.08, 4,704.17 and 796.04

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Solution

The fourth proportional to 3,136.08, 4,704.17 and 796.04 is: 1,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.08 : 4,704.17 = 796.04 : x
  2. Step 2: Convert to fraction form
    3,136.08/4,704.17 = 796.04/x
  3. Step 3: Cross multiply
    3,136.08x = 4,704.17 × 796.04
  4. Step 4: Simplify right side
    3,136.08x = 3,744,679.99
  5. Step 5: Solve for x
    x = 3,744,679.99/3,136.08
  6. Step 6: Final answer
    x = 1,194.06

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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.