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Finding the Fourth Proportional to 3,821.55, 5,735.70 and 2,259.60

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Solution

The fourth proportional to 3,821.55, 5,735.70 and 2,259.60 is: 3,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.55 : 5,735.70 = 2,259.60 : x
  2. Step 2: Convert to fraction form
    3,821.55/5,735.70 = 2,259.60/x
  3. Step 3: Cross multiply
    3,821.55x = 5,735.70 × 2,259.60
  4. Step 4: Simplify right side
    3,821.55x = 12,960,387.72
  5. Step 5: Solve for x
    x = 12,960,387.72/3,821.55
  6. Step 6: Final answer
    x = 3,391.40

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