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Finding the Fourth Proportional to 4,206.87, 6,305.53 and 2,559.79

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Solution

The fourth proportional to 4,206.87, 6,305.53 and 2,559.79 is: 3,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.87 : 6,305.53 = 2,559.79 : x
  2. Step 2: Convert to fraction form
    4,206.87/6,305.53 = 2,559.79/x
  3. Step 3: Cross multiply
    4,206.87x = 6,305.53 × 2,559.79
  4. Step 4: Simplify right side
    4,206.87x = 16,140,832.64
  5. Step 5: Solve for x
    x = 16,140,832.64/4,206.87
  6. Step 6: Final answer
    x = 3,836.78

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