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Finding the Fourth Proportional to 4,190.38, 5,782.72 and 2,327.38

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Solution

The fourth proportional to 4,190.38, 5,782.72 and 2,327.38 is: 3,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.38 : 5,782.72 = 2,327.38 : x
  2. Step 2: Convert to fraction form
    4,190.38/5,782.72 = 2,327.38/x
  3. Step 3: Cross multiply
    4,190.38x = 5,782.72 × 2,327.38
  4. Step 4: Simplify right side
    4,190.38x = 13,458,586.87
  5. Step 5: Solve for x
    x = 13,458,586.87/4,190.38
  6. Step 6: Final answer
    x = 3,211.78

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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.