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Finding the Fourth Proportional to 3,784.92, 5,677.40 and 1,011.60

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Solution

The fourth proportional to 3,784.92, 5,677.40 and 1,011.60 is: 1,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.92 : 5,677.40 = 1,011.60 : x
  2. Step 2: Convert to fraction form
    3,784.92/5,677.40 = 1,011.60/x
  3. Step 3: Cross multiply
    3,784.92x = 5,677.40 × 1,011.60
  4. Step 4: Simplify right side
    3,784.92x = 5,743,252.78
  5. Step 5: Solve for x
    x = 5,743,252.78/3,784.92
  6. Step 6: Final answer
    x = 1,517.40

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