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Finding the Fourth Proportional to 3,406.64, 5,110.44 and 2,106.32

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Solution

The fourth proportional to 3,406.64, 5,110.44 and 2,106.32 is: 3,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.64 : 5,110.44 = 2,106.32 : x
  2. Step 2: Convert to fraction form
    3,406.64/5,110.44 = 2,106.32/x
  3. Step 3: Cross multiply
    3,406.64x = 5,110.44 × 2,106.32
  4. Step 4: Simplify right side
    3,406.64x = 10,764,221.98
  5. Step 5: Solve for x
    x = 10,764,221.98/3,406.64
  6. Step 6: Final answer
    x = 3,159.78

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