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Finding the Fourth Proportional to 3,923, 5,884.35 and 1,582.28

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Solution

The fourth proportional to 3,923, 5,884.35 and 1,582.28 is: 2,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923 : 5,884.35 = 1,582.28 : x
  2. Step 2: Convert to fraction form
    3,923/5,884.35 = 1,582.28/x
  3. Step 3: Cross multiply
    3,923x = 5,884.35 × 1,582.28
  4. Step 4: Simplify right side
    3,923x = 9,310,689.32
  5. Step 5: Solve for x
    x = 9,310,689.32/3,923
  6. Step 6: Final answer
    x = 2,373.36

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