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Finding the Fourth Proportional to 4,974.90, 7,467.24 and 3,793.92

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Solution

The fourth proportional to 4,974.90, 7,467.24 and 3,793.92 is: 5,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.90 : 7,467.24 = 3,793.92 : x
  2. Step 2: Convert to fraction form
    4,974.90/7,467.24 = 3,793.92/x
  3. Step 3: Cross multiply
    4,974.90x = 7,467.24 × 3,793.92
  4. Step 4: Simplify right side
    4,974.90x = 28,330,111.18
  5. Step 5: Solve for x
    x = 28,330,111.18/4,974.90
  6. Step 6: Final answer
    x = 5,694.61

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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.