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Finding the Fourth Proportional to 3,234.82, 4,851 and 2,712.37

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Solution

The fourth proportional to 3,234.82, 4,851 and 2,712.37 is: 4,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.82 : 4,851 = 2,712.37 : x
  2. Step 2: Convert to fraction form
    3,234.82/4,851 = 2,712.37/x
  3. Step 3: Cross multiply
    3,234.82x = 4,851 × 2,712.37
  4. Step 4: Simplify right side
    3,234.82x = 13,157,706.87
  5. Step 5: Solve for x
    x = 13,157,706.87/3,234.82
  6. Step 6: Final answer
    x = 4,067.52

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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.