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Finding the Fourth Proportional to 3,940.93, 5,438.52 and 2,172.60

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Solution

The fourth proportional to 3,940.93, 5,438.52 and 2,172.60 is: 2,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.93 : 5,438.52 = 2,172.60 : x
  2. Step 2: Convert to fraction form
    3,940.93/5,438.52 = 2,172.60/x
  3. Step 3: Cross multiply
    3,940.93x = 5,438.52 × 2,172.60
  4. Step 4: Simplify right side
    3,940.93x = 11,815,723.10
  5. Step 5: Solve for x
    x = 11,815,723.10/3,940.93
  6. Step 6: Final answer
    x = 2,998.21

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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.