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Finding the Fourth Proportional to 5,102.86, 7,652.60 and 1,982.64

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Solution

The fourth proportional to 5,102.86, 7,652.60 and 1,982.64 is: 2,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.86 : 7,652.60 = 1,982.64 : x
  2. Step 2: Convert to fraction form
    5,102.86/7,652.60 = 1,982.64/x
  3. Step 3: Cross multiply
    5,102.86x = 7,652.60 × 1,982.64
  4. Step 4: Simplify right side
    5,102.86x = 15,172,350.86
  5. Step 5: Solve for x
    x = 15,172,350.86/5,102.86
  6. Step 6: Final answer
    x = 2,973.30

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