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Finding the Fourth Proportional to 4,286.77, 5,917.13 and 3,295.33

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Solution

The fourth proportional to 4,286.77, 5,917.13 and 3,295.33 is: 4,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.77 : 5,917.13 = 3,295.33 : x
  2. Step 2: Convert to fraction form
    4,286.77/5,917.13 = 3,295.33/x
  3. Step 3: Cross multiply
    4,286.77x = 5,917.13 × 3,295.33
  4. Step 4: Simplify right side
    4,286.77x = 19,498,896.00
  5. Step 5: Solve for x
    x = 19,498,896.00/4,286.77
  6. Step 6: Final answer
    x = 4,548.62

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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.