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Finding the Fourth Proportional to 5,207.70, 7,814.60 and 1,923.08

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Solution

The fourth proportional to 5,207.70, 7,814.60 and 1,923.08 is: 2,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.70 : 7,814.60 = 1,923.08 : x
  2. Step 2: Convert to fraction form
    5,207.70/7,814.60 = 1,923.08/x
  3. Step 3: Cross multiply
    5,207.70x = 7,814.60 × 1,923.08
  4. Step 4: Simplify right side
    5,207.70x = 15,028,100.97
  5. Step 5: Solve for x
    x = 15,028,100.97/5,207.70
  6. Step 6: Final answer
    x = 2,885.75

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