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Finding the Fourth Proportional to 3,940.68, 5,438.22 and 2,172.30

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Solution

The fourth proportional to 3,940.68, 5,438.22 and 2,172.30 is: 2,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.68 : 5,438.22 = 2,172.30 : x
  2. Step 2: Convert to fraction form
    3,940.68/5,438.22 = 2,172.30/x
  3. Step 3: Cross multiply
    3,940.68x = 5,438.22 × 2,172.30
  4. Step 4: Simplify right side
    3,940.68x = 11,813,445.31
  5. Step 5: Solve for x
    x = 11,813,445.31/3,940.68
  6. Step 6: Final answer
    x = 2,997.82

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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.