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Finding the Fourth Proportional to 3,743.94, 5,614.76 and 1,146.80

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Solution

The fourth proportional to 3,743.94, 5,614.76 and 1,146.80 is: 1,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.94 : 5,614.76 = 1,146.80 : x
  2. Step 2: Convert to fraction form
    3,743.94/5,614.76 = 1,146.80/x
  3. Step 3: Cross multiply
    3,743.94x = 5,614.76 × 1,146.80
  4. Step 4: Simplify right side
    3,743.94x = 6,439,006.77
  5. Step 5: Solve for x
    x = 6,439,006.77/3,743.94
  6. Step 6: Final answer
    x = 1,719.85

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