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Finding the Fourth Proportional to 5,218.92, 7,829.46 and 1,709.46

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Solution

The fourth proportional to 5,218.92, 7,829.46 and 1,709.46 is: 2,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.92 : 7,829.46 = 1,709.46 : x
  2. Step 2: Convert to fraction form
    5,218.92/7,829.46 = 1,709.46/x
  3. Step 3: Cross multiply
    5,218.92x = 7,829.46 × 1,709.46
  4. Step 4: Simplify right side
    5,218.92x = 13,384,148.69
  5. Step 5: Solve for x
    x = 13,384,148.69/5,218.92
  6. Step 6: Final answer
    x = 2,564.54

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