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Finding the Fourth Proportional to 3,721.70, 5,136.10 and 2,229.33

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Solution

The fourth proportional to 3,721.70, 5,136.10 and 2,229.33 is: 3,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.70 : 5,136.10 = 2,229.33 : x
  2. Step 2: Convert to fraction form
    3,721.70/5,136.10 = 2,229.33/x
  3. Step 3: Cross multiply
    3,721.70x = 5,136.10 × 2,229.33
  4. Step 4: Simplify right side
    3,721.70x = 11,450,061.81
  5. Step 5: Solve for x
    x = 11,450,061.81/3,721.70
  6. Step 6: Final answer
    x = 3,076.57

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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.