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Finding the Fourth Proportional to 3,447.89, 5,171.75 and 1,107.89

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Solution

The fourth proportional to 3,447.89, 5,171.75 and 1,107.89 is: 1,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.89 : 5,171.75 = 1,107.89 : x
  2. Step 2: Convert to fraction form
    3,447.89/5,171.75 = 1,107.89/x
  3. Step 3: Cross multiply
    3,447.89x = 5,171.75 × 1,107.89
  4. Step 4: Simplify right side
    3,447.89x = 5,729,724.57
  5. Step 5: Solve for x
    x = 5,729,724.57/3,447.89
  6. Step 6: Final answer
    x = 1,661.81

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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.