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Finding the Fourth Proportional to 3,850.82, 5,336.45 and 3,777

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Solution

The fourth proportional to 3,850.82, 5,336.45 and 3,777 is: 5,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.82 : 5,336.45 = 3,777 : x
  2. Step 2: Convert to fraction form
    3,850.82/5,336.45 = 3,777/x
  3. Step 3: Cross multiply
    3,850.82x = 5,336.45 × 3,777
  4. Step 4: Simplify right side
    3,850.82x = 20,155,771.65
  5. Step 5: Solve for x
    x = 20,155,771.65/3,850.82
  6. Step 6: Final answer
    x = 5,234.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.