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Finding the Fourth Proportional to 3,914.07, 5,871.24 and 1,965.21

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Solution

The fourth proportional to 3,914.07, 5,871.24 and 1,965.21 is: 2,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.07 : 5,871.24 = 1,965.21 : x
  2. Step 2: Convert to fraction form
    3,914.07/5,871.24 = 1,965.21/x
  3. Step 3: Cross multiply
    3,914.07x = 5,871.24 × 1,965.21
  4. Step 4: Simplify right side
    3,914.07x = 11,538,219.56
  5. Step 5: Solve for x
    x = 11,538,219.56/3,914.07
  6. Step 6: Final answer
    x = 2,947.88

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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.