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Finding the Fourth Proportional to 4,189.97, 6,285.24 and 1,268.49

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Solution

The fourth proportional to 4,189.97, 6,285.24 and 1,268.49 is: 1,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.97 : 6,285.24 = 1,268.49 : x
  2. Step 2: Convert to fraction form
    4,189.97/6,285.24 = 1,268.49/x
  3. Step 3: Cross multiply
    4,189.97x = 6,285.24 × 1,268.49
  4. Step 4: Simplify right side
    4,189.97x = 7,972,764.09
  5. Step 5: Solve for x
    x = 7,972,764.09/4,189.97
  6. Step 6: Final answer
    x = 1,902.82

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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.