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Finding the Fourth Proportional to 4,546.60, 6,816.84 and 1,584.28

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Solution

The fourth proportional to 4,546.60, 6,816.84 and 1,584.28 is: 2,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.60 : 6,816.84 = 1,584.28 : x
  2. Step 2: Convert to fraction form
    4,546.60/6,816.84 = 1,584.28/x
  3. Step 3: Cross multiply
    4,546.60x = 6,816.84 × 1,584.28
  4. Step 4: Simplify right side
    4,546.60x = 10,799,783.28
  5. Step 5: Solve for x
    x = 10,799,783.28/4,546.60
  6. Step 6: Final answer
    x = 2,375.35

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