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Finding the Fourth Proportional to 3,829.56, 5,743.80 and 1,364.04

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Solution

The fourth proportional to 3,829.56, 5,743.80 and 1,364.04 is: 2,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.56 : 5,743.80 = 1,364.04 : x
  2. Step 2: Convert to fraction form
    3,829.56/5,743.80 = 1,364.04/x
  3. Step 3: Cross multiply
    3,829.56x = 5,743.80 × 1,364.04
  4. Step 4: Simplify right side
    3,829.56x = 7,834,772.95
  5. Step 5: Solve for x
    x = 7,834,772.95/3,829.56
  6. Step 6: Final answer
    x = 2,045.87

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