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Finding the Fourth Proportional to 3,447.26, 5,170.95 and 1,138.82

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Solution

The fourth proportional to 3,447.26, 5,170.95 and 1,138.82 is: 1,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.26 : 5,170.95 = 1,138.82 : x
  2. Step 2: Convert to fraction form
    3,447.26/5,170.95 = 1,138.82/x
  3. Step 3: Cross multiply
    3,447.26x = 5,170.95 × 1,138.82
  4. Step 4: Simplify right side
    3,447.26x = 5,888,781.28
  5. Step 5: Solve for x
    x = 5,888,781.28/3,447.26
  6. Step 6: Final answer
    x = 1,708.25

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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.