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Finding the Fourth Proportional to 5,194.96, 7,789.16 and 3,438.06

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Solution

The fourth proportional to 5,194.96, 7,789.16 and 3,438.06 is: 5,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.96 : 7,789.16 = 3,438.06 : x
  2. Step 2: Convert to fraction form
    5,194.96/7,789.16 = 3,438.06/x
  3. Step 3: Cross multiply
    5,194.96x = 7,789.16 × 3,438.06
  4. Step 4: Simplify right side
    5,194.96x = 26,779,599.43
  5. Step 5: Solve for x
    x = 26,779,599.43/5,194.96
  6. Step 6: Final answer
    x = 5,154.92

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