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Finding the Fourth Proportional to 3,722.69, 5,136.92 and 2,230.57

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Solution

The fourth proportional to 3,722.69, 5,136.92 and 2,230.57 is: 3,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.69 : 5,136.92 = 2,230.57 : x
  2. Step 2: Convert to fraction form
    3,722.69/5,136.92 = 2,230.57/x
  3. Step 3: Cross multiply
    3,722.69x = 5,136.92 × 2,230.57
  4. Step 4: Simplify right side
    3,722.69x = 11,458,233.96
  5. Step 5: Solve for x
    x = 11,458,233.96/3,722.69
  6. Step 6: Final answer
    x = 3,077.95

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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.