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Finding the Fourth Proportional to 3,782.54, 5,212.52 and 2,839.38

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Solution

The fourth proportional to 3,782.54, 5,212.52 and 2,839.38 is: 3,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.54 : 5,212.52 = 2,839.38 : x
  2. Step 2: Convert to fraction form
    3,782.54/5,212.52 = 2,839.38/x
  3. Step 3: Cross multiply
    3,782.54x = 5,212.52 × 2,839.38
  4. Step 4: Simplify right side
    3,782.54x = 14,800,310.84
  5. Step 5: Solve for x
    x = 14,800,310.84/3,782.54
  6. Step 6: Final answer
    x = 3,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.