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Finding the Fourth Proportional to 5,268.75, 7,268.59 and 3,171.66

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Solution

The fourth proportional to 5,268.75, 7,268.59 and 3,171.66 is: 4,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.75 : 7,268.59 = 3,171.66 : x
  2. Step 2: Convert to fraction form
    5,268.75/7,268.59 = 3,171.66/x
  3. Step 3: Cross multiply
    5,268.75x = 7,268.59 × 3,171.66
  4. Step 4: Simplify right side
    5,268.75x = 23,053,455.03
  5. Step 5: Solve for x
    x = 23,053,455.03/5,268.75
  6. Step 6: Final answer
    x = 4,375.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.