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Finding the Fourth Proportional to 3,788.14, 5,680.32 and 2,400.42

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Solution

The fourth proportional to 3,788.14, 5,680.32 and 2,400.42 is: 3,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.14 : 5,680.32 = 2,400.42 : x
  2. Step 2: Convert to fraction form
    3,788.14/5,680.32 = 2,400.42/x
  3. Step 3: Cross multiply
    3,788.14x = 5,680.32 × 2,400.42
  4. Step 4: Simplify right side
    3,788.14x = 13,635,153.73
  5. Step 5: Solve for x
    x = 13,635,153.73/3,788.14
  6. Step 6: Final answer
    x = 3,599.43

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