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Finding the Fourth Proportional to 3,431.97, 5,148.14 and 1,091.81

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Solution

The fourth proportional to 3,431.97, 5,148.14 and 1,091.81 is: 1,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.97 : 5,148.14 = 1,091.81 : x
  2. Step 2: Convert to fraction form
    3,431.97/5,148.14 = 1,091.81/x
  3. Step 3: Cross multiply
    3,431.97x = 5,148.14 × 1,091.81
  4. Step 4: Simplify right side
    3,431.97x = 5,620,798.14
  5. Step 5: Solve for x
    x = 5,620,798.14/3,431.97
  6. Step 6: Final answer
    x = 1,637.78

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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.