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Finding the Fourth Proportional to 3,940.91, 5,438.23 and 2,172.21

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Solution

The fourth proportional to 3,940.91, 5,438.23 and 2,172.21 is: 2,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.91 : 5,438.23 = 2,172.21 : x
  2. Step 2: Convert to fraction form
    3,940.91/5,438.23 = 2,172.21/x
  3. Step 3: Cross multiply
    3,940.91x = 5,438.23 × 2,172.21
  4. Step 4: Simplify right side
    3,940.91x = 11,812,977.59
  5. Step 5: Solve for x
    x = 11,812,977.59/3,940.91
  6. Step 6: Final answer
    x = 2,997.53

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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.