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Finding the Fourth Proportional to 3,909.28, 5,396.96 and 3,005.76

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Solution

The fourth proportional to 3,909.28, 5,396.96 and 3,005.76 is: 4,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.28 : 5,396.96 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    3,909.28/5,396.96 = 3,005.76/x
  3. Step 3: Cross multiply
    3,909.28x = 5,396.96 × 3,005.76
  4. Step 4: Simplify right side
    3,909.28x = 16,221,966.49
  5. Step 5: Solve for x
    x = 16,221,966.49/3,909.28
  6. Step 6: Final answer
    x = 4,149.60

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