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Finding the Fourth Proportional to 4,882.56, 6,736.26 and 2,757.84

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Solution

The fourth proportional to 4,882.56, 6,736.26 and 2,757.84 is: 3,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.56 : 6,736.26 = 2,757.84 : x
  2. Step 2: Convert to fraction form
    4,882.56/6,736.26 = 2,757.84/x
  3. Step 3: Cross multiply
    4,882.56x = 6,736.26 × 2,757.84
  4. Step 4: Simplify right side
    4,882.56x = 18,577,527.28
  5. Step 5: Solve for x
    x = 18,577,527.28/4,882.56
  6. Step 6: Final answer
    x = 3,804.87

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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.