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Finding the Fourth Proportional to 3,823.52, 5,734.56 and 3,730.40

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Solution

The fourth proportional to 3,823.52, 5,734.56 and 3,730.40 is: 5,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,734.56 = 3,730.40 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,734.56 = 3,730.40/x
  3. Step 3: Cross multiply
    3,823.52x = 5,734.56 × 3,730.40
  4. Step 4: Simplify right side
    3,823.52x = 21,392,202.62
  5. Step 5: Solve for x
    x = 21,392,202.62/3,823.52
  6. Step 6: Final answer
    x = 5,594.90

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