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Finding the Fourth Proportional to 3,840.87, 5,762.70 and 1,342.43

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Solution

The fourth proportional to 3,840.87, 5,762.70 and 1,342.43 is: 2,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.87 : 5,762.70 = 1,342.43 : x
  2. Step 2: Convert to fraction form
    3,840.87/5,762.70 = 1,342.43/x
  3. Step 3: Cross multiply
    3,840.87x = 5,762.70 × 1,342.43
  4. Step 4: Simplify right side
    3,840.87x = 7,736,003.60
  5. Step 5: Solve for x
    x = 7,736,003.60/3,840.87
  6. Step 6: Final answer
    x = 2,014.13

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