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Finding the Fourth Proportional to 3,769.75, 5,657.06 and 1,461.25

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Solution

The fourth proportional to 3,769.75, 5,657.06 and 1,461.25 is: 2,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.75 : 5,657.06 = 1,461.25 : x
  2. Step 2: Convert to fraction form
    3,769.75/5,657.06 = 1,461.25/x
  3. Step 3: Cross multiply
    3,769.75x = 5,657.06 × 1,461.25
  4. Step 4: Simplify right side
    3,769.75x = 8,266,378.93
  5. Step 5: Solve for x
    x = 8,266,378.93/3,769.75
  6. Step 6: Final answer
    x = 2,192.82

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