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Finding the Fourth Proportional to 5,209.42, 7,808.64 and 3,565.52

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Solution

The fourth proportional to 5,209.42, 7,808.64 and 3,565.52 is: 5,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.42 : 7,808.64 = 3,565.52 : x
  2. Step 2: Convert to fraction form
    5,209.42/7,808.64 = 3,565.52/x
  3. Step 3: Cross multiply
    5,209.42x = 7,808.64 × 3,565.52
  4. Step 4: Simplify right side
    5,209.42x = 27,841,862.09
  5. Step 5: Solve for x
    x = 27,841,862.09/5,209.42
  6. Step 6: Final answer
    x = 5,344.52

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