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Finding the Fourth Proportional to 4,664.81, 6,997.22 and 1,586.81

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Solution

The fourth proportional to 4,664.81, 6,997.22 and 1,586.81 is: 2,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.81 : 6,997.22 = 1,586.81 : x
  2. Step 2: Convert to fraction form
    4,664.81/6,997.22 = 1,586.81/x
  3. Step 3: Cross multiply
    4,664.81x = 6,997.22 × 1,586.81
  4. Step 4: Simplify right side
    4,664.81x = 11,103,274.18
  5. Step 5: Solve for x
    x = 11,103,274.18/4,664.81
  6. Step 6: Final answer
    x = 2,380.22

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