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Finding the Fourth Proportional to 3,845.64, 5,762.46 and 2,282.52

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Solution

The fourth proportional to 3,845.64, 5,762.46 and 2,282.52 is: 3,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.64 : 5,762.46 = 2,282.52 : x
  2. Step 2: Convert to fraction form
    3,845.64/5,762.46 = 2,282.52/x
  3. Step 3: Cross multiply
    3,845.64x = 5,762.46 × 2,282.52
  4. Step 4: Simplify right side
    3,845.64x = 13,152,930.20
  5. Step 5: Solve for x
    x = 13,152,930.20/3,845.64
  6. Step 6: Final answer
    x = 3,420.22

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