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Finding the Fourth Proportional to 3,227.75, 4,840.02 and 1,147.43

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Solution

The fourth proportional to 3,227.75, 4,840.02 and 1,147.43 is: 1,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.75 : 4,840.02 = 1,147.43 : x
  2. Step 2: Convert to fraction form
    3,227.75/4,840.02 = 1,147.43/x
  3. Step 3: Cross multiply
    3,227.75x = 4,840.02 × 1,147.43
  4. Step 4: Simplify right side
    3,227.75x = 5,553,596.25
  5. Step 5: Solve for x
    x = 5,553,596.25/3,227.75
  6. Step 6: Final answer
    x = 1,720.58

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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.