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Finding the Fourth Proportional to 3,249.86, 4,865.40 and 2,472.93

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Solution

The fourth proportional to 3,249.86, 4,865.40 and 2,472.93 is: 3,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.86 : 4,865.40 = 2,472.93 : x
  2. Step 2: Convert to fraction form
    3,249.86/4,865.40 = 2,472.93/x
  3. Step 3: Cross multiply
    3,249.86x = 4,865.40 × 2,472.93
  4. Step 4: Simplify right side
    3,249.86x = 12,031,793.62
  5. Step 5: Solve for x
    x = 12,031,793.62/3,249.86
  6. Step 6: Final answer
    x = 3,702.26

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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.