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Finding the Fourth Proportional to 3,722.72, 5,136.99 and 2,150.78

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Solution

The fourth proportional to 3,722.72, 5,136.99 and 2,150.78 is: 2,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.72 : 5,136.99 = 2,150.78 : x
  2. Step 2: Convert to fraction form
    3,722.72/5,136.99 = 2,150.78/x
  3. Step 3: Cross multiply
    3,722.72x = 5,136.99 × 2,150.78
  4. Step 4: Simplify right side
    3,722.72x = 11,048,535.35
  5. Step 5: Solve for x
    x = 11,048,535.35/3,722.72
  6. Step 6: Final answer
    x = 2,967.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.