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Finding the Fourth Proportional to 3,412.73, 5,115.63 and 1,331.42

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Solution

The fourth proportional to 3,412.73, 5,115.63 and 1,331.42 is: 1,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.73 : 5,115.63 = 1,331.42 : x
  2. Step 2: Convert to fraction form
    3,412.73/5,115.63 = 1,331.42/x
  3. Step 3: Cross multiply
    3,412.73x = 5,115.63 × 1,331.42
  4. Step 4: Simplify right side
    3,412.73x = 6,811,052.09
  5. Step 5: Solve for x
    x = 6,811,052.09/3,412.73
  6. Step 6: Final answer
    x = 1,995.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.