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Finding the Fourth Proportional to 3,415.28, 5,122.86 and 1,106.78

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Solution

The fourth proportional to 3,415.28, 5,122.86 and 1,106.78 is: 1,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.28 : 5,122.86 = 1,106.78 : x
  2. Step 2: Convert to fraction form
    3,415.28/5,122.86 = 1,106.78/x
  3. Step 3: Cross multiply
    3,415.28x = 5,122.86 × 1,106.78
  4. Step 4: Simplify right side
    3,415.28x = 5,669,878.99
  5. Step 5: Solve for x
    x = 5,669,878.99/3,415.28
  6. Step 6: Final answer
    x = 1,660.15

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