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Finding the Fourth Proportional to 3,791.82, 5,688 and 2,234.10

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Solution

The fourth proportional to 3,791.82, 5,688 and 2,234.10 is: 3,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.82 : 5,688 = 2,234.10 : x
  2. Step 2: Convert to fraction form
    3,791.82/5,688 = 2,234.10/x
  3. Step 3: Cross multiply
    3,791.82x = 5,688 × 2,234.10
  4. Step 4: Simplify right side
    3,791.82x = 12,707,560.80
  5. Step 5: Solve for x
    x = 12,707,560.80/3,791.82
  6. Step 6: Final answer
    x = 3,351.31

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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.