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Finding the Fourth Proportional to 3,983.75, 5,975.62 and 1,645.07

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Solution

The fourth proportional to 3,983.75, 5,975.62 and 1,645.07 is: 2,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.75 : 5,975.62 = 1,645.07 : x
  2. Step 2: Convert to fraction form
    3,983.75/5,975.62 = 1,645.07/x
  3. Step 3: Cross multiply
    3,983.75x = 5,975.62 × 1,645.07
  4. Step 4: Simplify right side
    3,983.75x = 9,830,313.19
  5. Step 5: Solve for x
    x = 9,830,313.19/3,983.75
  6. Step 6: Final answer
    x = 2,467.60

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