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Finding the Fourth Proportional to 3,923.82, 5,418.38 and 2,927.37

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Solution

The fourth proportional to 3,923.82, 5,418.38 and 2,927.37 is: 4,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.82 : 5,418.38 = 2,927.37 : x
  2. Step 2: Convert to fraction form
    3,923.82/5,418.38 = 2,927.37/x
  3. Step 3: Cross multiply
    3,923.82x = 5,418.38 × 2,927.37
  4. Step 4: Simplify right side
    3,923.82x = 15,861,583.29
  5. Step 5: Solve for x
    x = 15,861,583.29/3,923.82
  6. Step 6: Final answer
    x = 4,042.39

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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.