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Finding the Fourth Proportional to 4,655.92, 6,982.96 and 2,282.98

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Solution

The fourth proportional to 4,655.92, 6,982.96 and 2,282.98 is: 3,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.92 : 6,982.96 = 2,282.98 : x
  2. Step 2: Convert to fraction form
    4,655.92/6,982.96 = 2,282.98/x
  3. Step 3: Cross multiply
    4,655.92x = 6,982.96 × 2,282.98
  4. Step 4: Simplify right side
    4,655.92x = 15,941,958.02
  5. Step 5: Solve for x
    x = 15,941,958.02/4,655.92
  6. Step 6: Final answer
    x = 3,424.02

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