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Finding the Fourth Proportional to 3,768.78, 5,651.49 and 2,013.48

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Solution

The fourth proportional to 3,768.78, 5,651.49 and 2,013.48 is: 3,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.78 : 5,651.49 = 2,013.48 : x
  2. Step 2: Convert to fraction form
    3,768.78/5,651.49 = 2,013.48/x
  3. Step 3: Cross multiply
    3,768.78x = 5,651.49 × 2,013.48
  4. Step 4: Simplify right side
    3,768.78x = 11,379,162.09
  5. Step 5: Solve for x
    x = 11,379,162.09/3,768.78
  6. Step 6: Final answer
    x = 3,019.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.