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Finding the Fourth Proportional to 3,940.92, 5,438.49 and 2,172.51

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Solution

The fourth proportional to 3,940.92, 5,438.49 and 2,172.51 is: 2,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.92 : 5,438.49 = 2,172.51 : x
  2. Step 2: Convert to fraction form
    3,940.92/5,438.49 = 2,172.51/x
  3. Step 3: Cross multiply
    3,940.92x = 5,438.49 × 2,172.51
  4. Step 4: Simplify right side
    3,940.92x = 11,815,173.91
  5. Step 5: Solve for x
    x = 11,815,173.91/3,940.92
  6. Step 6: Final answer
    x = 2,998.08

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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.