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Finding the Fourth Proportional to 5,209.40, 7,817.70 and 3,749.80

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Solution

The fourth proportional to 5,209.40, 7,817.70 and 3,749.80 is: 5,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.40 : 7,817.70 = 3,749.80 : x
  2. Step 2: Convert to fraction form
    5,209.40/7,817.70 = 3,749.80/x
  3. Step 3: Cross multiply
    5,209.40x = 7,817.70 × 3,749.80
  4. Step 4: Simplify right side
    5,209.40x = 29,314,811.46
  5. Step 5: Solve for x
    x = 29,314,811.46/5,209.40
  6. Step 6: Final answer
    x = 5,627.29

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