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Finding the Fourth Proportional to 3,471.73, 4,790.96 and 3,189.31

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Solution

The fourth proportional to 3,471.73, 4,790.96 and 3,189.31 is: 4,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.73 : 4,790.96 = 3,189.31 : x
  2. Step 2: Convert to fraction form
    3,471.73/4,790.96 = 3,189.31/x
  3. Step 3: Cross multiply
    3,471.73x = 4,790.96 × 3,189.31
  4. Step 4: Simplify right side
    3,471.73x = 15,279,868.62
  5. Step 5: Solve for x
    x = 15,279,868.62/3,471.73
  6. Step 6: Final answer
    x = 4,401.23

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