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Finding the Fourth Proportional to 3,809.56, 5,709.78 and 1,961.56

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Solution

The fourth proportional to 3,809.56, 5,709.78 and 1,961.56 is: 2,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.56 : 5,709.78 = 1,961.56 : x
  2. Step 2: Convert to fraction form
    3,809.56/5,709.78 = 1,961.56/x
  3. Step 3: Cross multiply
    3,809.56x = 5,709.78 × 1,961.56
  4. Step 4: Simplify right side
    3,809.56x = 11,200,076.06
  5. Step 5: Solve for x
    x = 11,200,076.06/3,809.56
  6. Step 6: Final answer
    x = 2,939.99

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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.