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Finding the Fourth Proportional to 3,850.88, 5,747.83 and 3,757.66

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Solution

The fourth proportional to 3,850.88, 5,747.83 and 3,757.66 is: 5,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.88 : 5,747.83 = 3,757.66 : x
  2. Step 2: Convert to fraction form
    3,850.88/5,747.83 = 3,757.66/x
  3. Step 3: Cross multiply
    3,850.88x = 5,747.83 × 3,757.66
  4. Step 4: Simplify right side
    3,850.88x = 21,598,367.11
  5. Step 5: Solve for x
    x = 21,598,367.11/3,850.88
  6. Step 6: Final answer
    x = 5,608.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.