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Finding the Fourth Proportional to 5,645.97, 7,787.34 and 3,406.86

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Solution

The fourth proportional to 5,645.97, 7,787.34 and 3,406.86 is: 4,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.97 : 7,787.34 = 3,406.86 : x
  2. Step 2: Convert to fraction form
    5,645.97/7,787.34 = 3,406.86/x
  3. Step 3: Cross multiply
    5,645.97x = 7,787.34 × 3,406.86
  4. Step 4: Simplify right side
    5,645.97x = 26,530,377.15
  5. Step 5: Solve for x
    x = 26,530,377.15/5,645.97
  6. Step 6: Final answer
    x = 4,698.99

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