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Finding the Fourth Proportional to 4,896.96, 6,757.92 and 2,772.06

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Solution

The fourth proportional to 4,896.96, 6,757.92 and 2,772.06 is: 3,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.96 : 6,757.92 = 2,772.06 : x
  2. Step 2: Convert to fraction form
    4,896.96/6,757.92 = 2,772.06/x
  3. Step 3: Cross multiply
    4,896.96x = 6,757.92 × 2,772.06
  4. Step 4: Simplify right side
    4,896.96x = 18,733,359.72
  5. Step 5: Solve for x
    x = 18,733,359.72/4,896.96
  6. Step 6: Final answer
    x = 3,825.51

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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.