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Finding the Fourth Proportional to 5,242.26, 7,857.72 and 2,645.40

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Solution

The fourth proportional to 5,242.26, 7,857.72 and 2,645.40 is: 3,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.26 : 7,857.72 = 2,645.40 : x
  2. Step 2: Convert to fraction form
    5,242.26/7,857.72 = 2,645.40/x
  3. Step 3: Cross multiply
    5,242.26x = 7,857.72 × 2,645.40
  4. Step 4: Simplify right side
    5,242.26x = 20,786,812.49
  5. Step 5: Solve for x
    x = 20,786,812.49/5,242.26
  6. Step 6: Final answer
    x = 3,965.24

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