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Finding the Fourth Proportional to 3,447.74, 5,170.39 and 1,107.65

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Solution

The fourth proportional to 3,447.74, 5,170.39 and 1,107.65 is: 1,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.74 : 5,170.39 = 1,107.65 : x
  2. Step 2: Convert to fraction form
    3,447.74/5,170.39 = 1,107.65/x
  3. Step 3: Cross multiply
    3,447.74x = 5,170.39 × 1,107.65
  4. Step 4: Simplify right side
    3,447.74x = 5,726,982.48
  5. Step 5: Solve for x
    x = 5,726,982.48/3,447.74
  6. Step 6: Final answer
    x = 1,661.08

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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.