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Finding the Fourth Proportional to 5,209.52, 7,814.43 and 1,512.59

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Solution

The fourth proportional to 5,209.52, 7,814.43 and 1,512.59 is: 2,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.52 : 7,814.43 = 1,512.59 : x
  2. Step 2: Convert to fraction form
    5,209.52/7,814.43 = 1,512.59/x
  3. Step 3: Cross multiply
    5,209.52x = 7,814.43 × 1,512.59
  4. Step 4: Simplify right side
    5,209.52x = 11,819,989.60
  5. Step 5: Solve for x
    x = 11,819,989.60/5,209.52
  6. Step 6: Final answer
    x = 2,268.92

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