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Finding the Fourth Proportional to 3,422.92, 4,723.56 and 2,096.68

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Solution

The fourth proportional to 3,422.92, 4,723.56 and 2,096.68 is: 2,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.92 : 4,723.56 = 2,096.68 : x
  2. Step 2: Convert to fraction form
    3,422.92/4,723.56 = 2,096.68/x
  3. Step 3: Cross multiply
    3,422.92x = 4,723.56 × 2,096.68
  4. Step 4: Simplify right side
    3,422.92x = 9,903,793.78
  5. Step 5: Solve for x
    x = 9,903,793.78/3,422.92
  6. Step 6: Final answer
    x = 2,893.38

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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.