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Finding the Fourth Proportional to 3,769.93, 5,653.41 and 1,136.62

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Solution

The fourth proportional to 3,769.93, 5,653.41 and 1,136.62 is: 1,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.93 : 5,653.41 = 1,136.62 : x
  2. Step 2: Convert to fraction form
    3,769.93/5,653.41 = 1,136.62/x
  3. Step 3: Cross multiply
    3,769.93x = 5,653.41 × 1,136.62
  4. Step 4: Simplify right side
    3,769.93x = 6,425,778.87
  5. Step 5: Solve for x
    x = 6,425,778.87/3,769.93
  6. Step 6: Final answer
    x = 1,704.48

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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.