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Finding the Fourth Proportional to 3,977.28, 5,965.89 and 1,380

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Solution

The fourth proportional to 3,977.28, 5,965.89 and 1,380 is: 2,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.28 : 5,965.89 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,977.28/5,965.89 = 1,380/x
  3. Step 3: Cross multiply
    3,977.28x = 5,965.89 × 1,380
  4. Step 4: Simplify right side
    3,977.28x = 8,232,928.20
  5. Step 5: Solve for x
    x = 8,232,928.20/3,977.28
  6. Step 6: Final answer
    x = 2,069.99

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