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Finding the Fourth Proportional to 5,372.75, 8,047.43 and 3,286.44

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Solution

The fourth proportional to 5,372.75, 8,047.43 and 3,286.44 is: 4,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.75 : 8,047.43 = 3,286.44 : x
  2. Step 2: Convert to fraction form
    5,372.75/8,047.43 = 3,286.44/x
  3. Step 3: Cross multiply
    5,372.75x = 8,047.43 × 3,286.44
  4. Step 4: Simplify right side
    5,372.75x = 26,447,410.23
  5. Step 5: Solve for x
    x = 26,447,410.23/5,372.75
  6. Step 6: Final answer
    x = 4,922.51

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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.