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Finding the Fourth Proportional to 3,769.92, 5,655.24 and 1,461.60

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Solution

The fourth proportional to 3,769.92, 5,655.24 and 1,461.60 is: 2,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.92 : 5,655.24 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    3,769.92/5,655.24 = 1,461.60/x
  3. Step 3: Cross multiply
    3,769.92x = 5,655.24 × 1,461.60
  4. Step 4: Simplify right side
    3,769.92x = 8,265,698.78
  5. Step 5: Solve for x
    x = 8,265,698.78/3,769.92
  6. Step 6: Final answer
    x = 2,192.54

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