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Finding the Fourth Proportional to 3,249.92, 4,876.24 and 1,301.92

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Solution

The fourth proportional to 3,249.92, 4,876.24 and 1,301.92 is: 1,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.92 : 4,876.24 = 1,301.92 : x
  2. Step 2: Convert to fraction form
    3,249.92/4,876.24 = 1,301.92/x
  3. Step 3: Cross multiply
    3,249.92x = 4,876.24 × 1,301.92
  4. Step 4: Simplify right side
    3,249.92x = 6,348,474.38
  5. Step 5: Solve for x
    x = 6,348,474.38/3,249.92
  6. Step 6: Final answer
    x = 1,953.42

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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.