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Finding the Fourth Proportional to 5,178.54, 7,769.76 and 2,405.34

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Solution

The fourth proportional to 5,178.54, 7,769.76 and 2,405.34 is: 3,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.54 : 7,769.76 = 2,405.34 : x
  2. Step 2: Convert to fraction form
    5,178.54/7,769.76 = 2,405.34/x
  3. Step 3: Cross multiply
    5,178.54x = 7,769.76 × 2,405.34
  4. Step 4: Simplify right side
    5,178.54x = 18,688,914.52
  5. Step 5: Solve for x
    x = 18,688,914.52/5,178.54
  6. Step 6: Final answer
    x = 3,608.92

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