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Finding the Fourth Proportional to 4,896.75, 6,757.92 and 2,801.28

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Solution

The fourth proportional to 4,896.75, 6,757.92 and 2,801.28 is: 3,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.75 : 6,757.92 = 2,801.28 : x
  2. Step 2: Convert to fraction form
    4,896.75/6,757.92 = 2,801.28/x
  3. Step 3: Cross multiply
    4,896.75x = 6,757.92 × 2,801.28
  4. Step 4: Simplify right side
    4,896.75x = 18,930,826.14
  5. Step 5: Solve for x
    x = 18,930,826.14/4,896.75
  6. Step 6: Final answer
    x = 3,866.00

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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.