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Finding the Fourth Proportional to 4,562.80, 6,842.16 and 1,441.92

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Solution

The fourth proportional to 4,562.80, 6,842.16 and 1,441.92 is: 2,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.80 : 6,842.16 = 1,441.92 : x
  2. Step 2: Convert to fraction form
    4,562.80/6,842.16 = 1,441.92/x
  3. Step 3: Cross multiply
    4,562.80x = 6,842.16 × 1,441.92
  4. Step 4: Simplify right side
    4,562.80x = 9,865,847.35
  5. Step 5: Solve for x
    x = 9,865,847.35/4,562.80
  6. Step 6: Final answer
    x = 2,162.24

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