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Finding the Fourth Proportional to 3,412.73, 5,115.22 and 1,331.71

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Solution

The fourth proportional to 3,412.73, 5,115.22 and 1,331.71 is: 1,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.73 : 5,115.22 = 1,331.71 : x
  2. Step 2: Convert to fraction form
    3,412.73/5,115.22 = 1,331.71/x
  3. Step 3: Cross multiply
    3,412.73x = 5,115.22 × 1,331.71
  4. Step 4: Simplify right side
    3,412.73x = 6,811,973.51
  5. Step 5: Solve for x
    x = 6,811,973.51/3,412.73
  6. Step 6: Final answer
    x = 1,996.05

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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.