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Finding the Fourth Proportional to 3,939.56, 5,913 and 1,993.14

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Solution

The fourth proportional to 3,939.56, 5,913 and 1,993.14 is: 2,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.56 : 5,913 = 1,993.14 : x
  2. Step 2: Convert to fraction form
    3,939.56/5,913 = 1,993.14/x
  3. Step 3: Cross multiply
    3,939.56x = 5,913 × 1,993.14
  4. Step 4: Simplify right side
    3,939.56x = 11,785,436.82
  5. Step 5: Solve for x
    x = 11,785,436.82/3,939.56
  6. Step 6: Final answer
    x = 2,991.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.