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Finding the Fourth Proportional to 5,200.27, 7,800.33 and 1,304.67

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Solution

The fourth proportional to 5,200.27, 7,800.33 and 1,304.67 is: 1,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.27 : 7,800.33 = 1,304.67 : x
  2. Step 2: Convert to fraction form
    5,200.27/7,800.33 = 1,304.67/x
  3. Step 3: Cross multiply
    5,200.27x = 7,800.33 × 1,304.67
  4. Step 4: Simplify right side
    5,200.27x = 10,176,890.68
  5. Step 5: Solve for x
    x = 10,176,890.68/5,200.27
  6. Step 6: Final answer
    x = 1,956.99

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