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Finding the Fourth Proportional to 5,209.56, 7,817.58 and 1,923.39

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Solution

The fourth proportional to 5,209.56, 7,817.58 and 1,923.39 is: 2,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.56 : 7,817.58 = 1,923.39 : x
  2. Step 2: Convert to fraction form
    5,209.56/7,817.58 = 1,923.39/x
  3. Step 3: Cross multiply
    5,209.56x = 7,817.58 × 1,923.39
  4. Step 4: Simplify right side
    5,209.56x = 15,036,255.20
  5. Step 5: Solve for x
    x = 15,036,255.20/5,209.56
  6. Step 6: Final answer
    x = 2,886.28

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