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Finding the Fourth Proportional to 4,658.14, 6,965.61 and 3,606.22

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Solution

The fourth proportional to 4,658.14, 6,965.61 and 3,606.22 is: 5,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.14 : 6,965.61 = 3,606.22 : x
  2. Step 2: Convert to fraction form
    4,658.14/6,965.61 = 3,606.22/x
  3. Step 3: Cross multiply
    4,658.14x = 6,965.61 × 3,606.22
  4. Step 4: Simplify right side
    4,658.14x = 25,119,522.09
  5. Step 5: Solve for x
    x = 25,119,522.09/4,658.14
  6. Step 6: Final answer
    x = 5,392.61

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