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Finding the Fourth Proportional to 3,722.67, 5,136.57 and 2,230.74

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Solution

The fourth proportional to 3,722.67, 5,136.57 and 2,230.74 is: 3,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.67 : 5,136.57 = 2,230.74 : x
  2. Step 2: Convert to fraction form
    3,722.67/5,136.57 = 2,230.74/x
  3. Step 3: Cross multiply
    3,722.67x = 5,136.57 × 2,230.74
  4. Step 4: Simplify right side
    3,722.67x = 11,458,352.16
  5. Step 5: Solve for x
    x = 11,458,352.16/3,722.67
  6. Step 6: Final answer
    x = 3,077.99

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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.