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Finding the Fourth Proportional to 3,909.28, 5,866.38 and 1,600.78

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Solution

The fourth proportional to 3,909.28, 5,866.38 and 1,600.78 is: 2,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.28 : 5,866.38 = 1,600.78 : x
  2. Step 2: Convert to fraction form
    3,909.28/5,866.38 = 1,600.78/x
  3. Step 3: Cross multiply
    3,909.28x = 5,866.38 × 1,600.78
  4. Step 4: Simplify right side
    3,909.28x = 9,390,783.78
  5. Step 5: Solve for x
    x = 9,390,783.78/3,909.28
  6. Step 6: Final answer
    x = 2,402.18

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