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Finding the Fourth Proportional to 3,367.72, 5,049.94 and 1,027.32

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Solution

The fourth proportional to 3,367.72, 5,049.94 and 1,027.32 is: 1,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.72 : 5,049.94 = 1,027.32 : x
  2. Step 2: Convert to fraction form
    3,367.72/5,049.94 = 1,027.32/x
  3. Step 3: Cross multiply
    3,367.72x = 5,049.94 × 1,027.32
  4. Step 4: Simplify right side
    3,367.72x = 5,187,904.36
  5. Step 5: Solve for x
    x = 5,187,904.36/3,367.72
  6. Step 6: Final answer
    x = 1,540.48

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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.