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Finding the Fourth Proportional to 5,678.36, 7,834.48 and 3,289.06

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Solution

The fourth proportional to 5,678.36, 7,834.48 and 3,289.06 is: 4,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.36 : 7,834.48 = 3,289.06 : x
  2. Step 2: Convert to fraction form
    5,678.36/7,834.48 = 3,289.06/x
  3. Step 3: Cross multiply
    5,678.36x = 7,834.48 × 3,289.06
  4. Step 4: Simplify right side
    5,678.36x = 25,768,074.79
  5. Step 5: Solve for x
    x = 25,768,074.79/5,678.36
  6. Step 6: Final answer
    x = 4,537.94

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