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Finding the Fourth Proportional to 3,834.57, 5,280.74 and 3,453.21

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Solution

The fourth proportional to 3,834.57, 5,280.74 and 3,453.21 is: 4,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.57 : 5,280.74 = 3,453.21 : x
  2. Step 2: Convert to fraction form
    3,834.57/5,280.74 = 3,453.21/x
  3. Step 3: Cross multiply
    3,834.57x = 5,280.74 × 3,453.21
  4. Step 4: Simplify right side
    3,834.57x = 18,235,504.43
  5. Step 5: Solve for x
    x = 18,235,504.43/3,834.57
  6. Step 6: Final answer
    x = 4,755.56

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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.