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Finding the Fourth Proportional to 3,201.36, 4,794 and 2,027.82

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Solution

The fourth proportional to 3,201.36, 4,794 and 2,027.82 is: 3,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.36 : 4,794 = 2,027.82 : x
  2. Step 2: Convert to fraction form
    3,201.36/4,794 = 2,027.82/x
  3. Step 3: Cross multiply
    3,201.36x = 4,794 × 2,027.82
  4. Step 4: Simplify right side
    3,201.36x = 9,721,369.08
  5. Step 5: Solve for x
    x = 9,721,369.08/3,201.36
  6. Step 6: Final answer
    x = 3,036.64

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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.