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Finding the Fourth Proportional to 3,677.80, 5,516.70 and 1,829.20

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Solution

The fourth proportional to 3,677.80, 5,516.70 and 1,829.20 is: 2,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.80 : 5,516.70 = 1,829.20 : x
  2. Step 2: Convert to fraction form
    3,677.80/5,516.70 = 1,829.20/x
  3. Step 3: Cross multiply
    3,677.80x = 5,516.70 × 1,829.20
  4. Step 4: Simplify right side
    3,677.80x = 10,091,147.64
  5. Step 5: Solve for x
    x = 10,091,147.64/3,677.80
  6. Step 6: Final answer
    x = 2,743.80

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