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Finding the Fourth Proportional to 3,850.74, 5,768.82 and 3,238.38

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Solution

The fourth proportional to 3,850.74, 5,768.82 and 3,238.38 is: 4,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.74 : 5,768.82 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    3,850.74/5,768.82 = 3,238.38/x
  3. Step 3: Cross multiply
    3,850.74x = 5,768.82 × 3,238.38
  4. Step 4: Simplify right side
    3,850.74x = 18,681,631.31
  5. Step 5: Solve for x
    x = 18,681,631.31/3,850.74
  6. Step 6: Final answer
    x = 4,851.44

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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.