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Finding the Fourth Proportional to 5,191.56, 7,789.68 and 2,270.70

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Solution

The fourth proportional to 5,191.56, 7,789.68 and 2,270.70 is: 3,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.56 : 7,789.68 = 2,270.70 : x
  2. Step 2: Convert to fraction form
    5,191.56/7,789.68 = 2,270.70/x
  3. Step 3: Cross multiply
    5,191.56x = 7,789.68 × 2,270.70
  4. Step 4: Simplify right side
    5,191.56x = 17,688,026.38
  5. Step 5: Solve for x
    x = 17,688,026.38/5,191.56
  6. Step 6: Final answer
    x = 3,407.07

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