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Finding the Fourth Proportional to 3,721.70, 5,136.81 and 2,150.30

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Solution

The fourth proportional to 3,721.70, 5,136.81 and 2,150.30 is: 2,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.70 : 5,136.81 = 2,150.30 : x
  2. Step 2: Convert to fraction form
    3,721.70/5,136.81 = 2,150.30/x
  3. Step 3: Cross multiply
    3,721.70x = 5,136.81 × 2,150.30
  4. Step 4: Simplify right side
    3,721.70x = 11,045,682.54
  5. Step 5: Solve for x
    x = 11,045,682.54/3,721.70
  6. Step 6: Final answer
    x = 2,967.91

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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.