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Finding the Fourth Proportional to 3,541.73, 5,314.64 and 1,461.34

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Solution

The fourth proportional to 3,541.73, 5,314.64 and 1,461.34 is: 2,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.73 : 5,314.64 = 1,461.34 : x
  2. Step 2: Convert to fraction form
    3,541.73/5,314.64 = 1,461.34/x
  3. Step 3: Cross multiply
    3,541.73x = 5,314.64 × 1,461.34
  4. Step 4: Simplify right side
    3,541.73x = 7,766,499.46
  5. Step 5: Solve for x
    x = 7,766,499.46/3,541.73
  6. Step 6: Final answer
    x = 2,192.86

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