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Finding the Fourth Proportional to 5,120.31, 7,678.80 and 1,999.53

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Solution

The fourth proportional to 5,120.31, 7,678.80 and 1,999.53 is: 2,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.31 : 7,678.80 = 1,999.53 : x
  2. Step 2: Convert to fraction form
    5,120.31/7,678.80 = 1,999.53/x
  3. Step 3: Cross multiply
    5,120.31x = 7,678.80 × 1,999.53
  4. Step 4: Simplify right side
    5,120.31x = 15,353,990.96
  5. Step 5: Solve for x
    x = 15,353,990.96/5,120.31
  6. Step 6: Final answer
    x = 2,998.64

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