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Finding the Fourth Proportional to 4,239.76, 5,855.79 and 2,821

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Solution

The fourth proportional to 4,239.76, 5,855.79 and 2,821 is: 3,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.76 : 5,855.79 = 2,821 : x
  2. Step 2: Convert to fraction form
    4,239.76/5,855.79 = 2,821/x
  3. Step 3: Cross multiply
    4,239.76x = 5,855.79 × 2,821
  4. Step 4: Simplify right side
    4,239.76x = 16,519,183.59
  5. Step 5: Solve for x
    x = 16,519,183.59/4,239.76
  6. Step 6: Final answer
    x = 3,896.25

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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.