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Finding the Fourth Proportional to 3,924.23, 5,884.07 and 1,582.32

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Solution

The fourth proportional to 3,924.23, 5,884.07 and 1,582.32 is: 2,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.23 : 5,884.07 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    3,924.23/5,884.07 = 1,582.32/x
  3. Step 3: Cross multiply
    3,924.23x = 5,884.07 × 1,582.32
  4. Step 4: Simplify right side
    3,924.23x = 9,310,473.73
  5. Step 5: Solve for x
    x = 9,310,473.73/3,924.23
  6. Step 6: Final answer
    x = 2,372.56

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