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Finding the Fourth Proportional to 4,558.14, 6,834.72 and 3,077.34

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Solution

The fourth proportional to 4,558.14, 6,834.72 and 3,077.34 is: 4,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.14 : 6,834.72 = 3,077.34 : x
  2. Step 2: Convert to fraction form
    4,558.14/6,834.72 = 3,077.34/x
  3. Step 3: Cross multiply
    4,558.14x = 6,834.72 × 3,077.34
  4. Step 4: Simplify right side
    4,558.14x = 21,032,757.24
  5. Step 5: Solve for x
    x = 21,032,757.24/4,558.14
  6. Step 6: Final answer
    x = 4,614.33

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