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Finding the Fourth Proportional to 3,340.20, 5,007.63 and 1,584.32

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Solution

The fourth proportional to 3,340.20, 5,007.63 and 1,584.32 is: 2,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.20 : 5,007.63 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    3,340.20/5,007.63 = 1,584.32/x
  3. Step 3: Cross multiply
    3,340.20x = 5,007.63 × 1,584.32
  4. Step 4: Simplify right side
    3,340.20x = 7,933,688.36
  5. Step 5: Solve for x
    x = 7,933,688.36/3,340.20
  6. Step 6: Final answer
    x = 2,375.21

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