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Finding the Fourth Proportional to 5,793.96, 7,992.42 and 3,694.44

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Solution

The fourth proportional to 5,793.96, 7,992.42 and 3,694.44 is: 5,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.96 : 7,992.42 = 3,694.44 : x
  2. Step 2: Convert to fraction form
    5,793.96/7,992.42 = 3,694.44/x
  3. Step 3: Cross multiply
    5,793.96x = 7,992.42 × 3,694.44
  4. Step 4: Simplify right side
    5,793.96x = 29,527,516.14
  5. Step 5: Solve for x
    x = 29,527,516.14/5,793.96
  6. Step 6: Final answer
    x = 5,096.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.