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Finding the Fourth Proportional to 3,136, 4,703.85 and 796.07

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Solution

The fourth proportional to 3,136, 4,703.85 and 796.07 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136 : 4,703.85 = 796.07 : x
  2. Step 2: Convert to fraction form
    3,136/4,703.85 = 796.07/x
  3. Step 3: Cross multiply
    3,136x = 4,703.85 × 796.07
  4. Step 4: Simplify right side
    3,136x = 3,744,593.87
  5. Step 5: Solve for x
    x = 3,744,593.87/3,136
  6. Step 6: Final answer
    x = 1,194.07

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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.