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Finding the Fourth Proportional to 3,938.42, 5,914.92 and 2,640.80

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Solution

The fourth proportional to 3,938.42, 5,914.92 and 2,640.80 is: 3,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.42 : 5,914.92 = 2,640.80 : x
  2. Step 2: Convert to fraction form
    3,938.42/5,914.92 = 2,640.80/x
  3. Step 3: Cross multiply
    3,938.42x = 5,914.92 × 2,640.80
  4. Step 4: Simplify right side
    3,938.42x = 15,620,145.43
  5. Step 5: Solve for x
    x = 15,620,145.43/3,938.42
  6. Step 6: Final answer
    x = 3,966.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.