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Finding the Fourth Proportional to 3,923.10, 5,906.03 and 3,387.42

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Solution

The fourth proportional to 3,923.10, 5,906.03 and 3,387.42 is: 5,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.10 : 5,906.03 = 3,387.42 : x
  2. Step 2: Convert to fraction form
    3,923.10/5,906.03 = 3,387.42/x
  3. Step 3: Cross multiply
    3,923.10x = 5,906.03 × 3,387.42
  4. Step 4: Simplify right side
    3,923.10x = 20,006,187.21
  5. Step 5: Solve for x
    x = 20,006,187.21/3,923.10
  6. Step 6: Final answer
    x = 5,099.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.