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Finding the Fourth Proportional to 5,298.96, 7,941.92 and 3,109.20

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Solution

The fourth proportional to 5,298.96, 7,941.92 and 3,109.20 is: 4,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.96 : 7,941.92 = 3,109.20 : x
  2. Step 2: Convert to fraction form
    5,298.96/7,941.92 = 3,109.20/x
  3. Step 3: Cross multiply
    5,298.96x = 7,941.92 × 3,109.20
  4. Step 4: Simplify right side
    5,298.96x = 24,693,017.66
  5. Step 5: Solve for x
    x = 24,693,017.66/5,298.96
  6. Step 6: Final answer
    x = 4,659.97

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