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Finding the Fourth Proportional to 3,757.09, 5,638.87 and 1,450.21

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Solution

The fourth proportional to 3,757.09, 5,638.87 and 1,450.21 is: 2,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.09 : 5,638.87 = 1,450.21 : x
  2. Step 2: Convert to fraction form
    3,757.09/5,638.87 = 1,450.21/x
  3. Step 3: Cross multiply
    3,757.09x = 5,638.87 × 1,450.21
  4. Step 4: Simplify right side
    3,757.09x = 8,177,517.47
  5. Step 5: Solve for x
    x = 8,177,517.47/3,757.09
  6. Step 6: Final answer
    x = 2,176.56

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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.