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Finding the Fourth Proportional to 4,002, 6,003 and 1,405.02

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Solution

The fourth proportional to 4,002, 6,003 and 1,405.02 is: 2,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 6,003 = 1,405.02 : x
  2. Step 2: Convert to fraction form
    4,002/6,003 = 1,405.02/x
  3. Step 3: Cross multiply
    4,002x = 6,003 × 1,405.02
  4. Step 4: Simplify right side
    4,002x = 8,434,335.06
  5. Step 5: Solve for x
    x = 8,434,335.06/4,002
  6. Step 6: Final answer
    x = 2,107.53

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