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Finding the Fourth Proportional to 4,270.56, 5,896.12 and 2,760.86

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Solution

The fourth proportional to 4,270.56, 5,896.12 and 2,760.86 is: 3,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.56 : 5,896.12 = 2,760.86 : x
  2. Step 2: Convert to fraction form
    4,270.56/5,896.12 = 2,760.86/x
  3. Step 3: Cross multiply
    4,270.56x = 5,896.12 × 2,760.86
  4. Step 4: Simplify right side
    4,270.56x = 16,278,361.86
  5. Step 5: Solve for x
    x = 16,278,361.86/4,270.56
  6. Step 6: Final answer
    x = 3,811.76

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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.