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Finding the Fourth Proportional to 5,120.82, 7,683.12 and 3,461.40

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Solution

The fourth proportional to 5,120.82, 7,683.12 and 3,461.40 is: 5,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.82 : 7,683.12 = 3,461.40 : x
  2. Step 2: Convert to fraction form
    5,120.82/7,683.12 = 3,461.40/x
  3. Step 3: Cross multiply
    5,120.82x = 7,683.12 × 3,461.40
  4. Step 4: Simplify right side
    5,120.82x = 26,594,351.57
  5. Step 5: Solve for x
    x = 26,594,351.57/5,120.82
  6. Step 6: Final answer
    x = 5,193.38

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