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Finding the Fourth Proportional to 3,909.76, 5,396.42 and 2,416.78

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Solution

The fourth proportional to 3,909.76, 5,396.42 and 2,416.78 is: 3,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.76 : 5,396.42 = 2,416.78 : x
  2. Step 2: Convert to fraction form
    3,909.76/5,396.42 = 2,416.78/x
  3. Step 3: Cross multiply
    3,909.76x = 5,396.42 × 2,416.78
  4. Step 4: Simplify right side
    3,909.76x = 13,041,972.72
  5. Step 5: Solve for x
    x = 13,041,972.72/3,909.76
  6. Step 6: Final answer
    x = 3,335.74

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