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Finding the Fourth Proportional to 4,546.32, 6,815.80 and 1,622.80

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Solution

The fourth proportional to 4,546.32, 6,815.80 and 1,622.80 is: 2,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.32 : 6,815.80 = 1,622.80 : x
  2. Step 2: Convert to fraction form
    4,546.32/6,815.80 = 1,622.80/x
  3. Step 3: Cross multiply
    4,546.32x = 6,815.80 × 1,622.80
  4. Step 4: Simplify right side
    4,546.32x = 11,060,680.24
  5. Step 5: Solve for x
    x = 11,060,680.24/4,546.32
  6. Step 6: Final answer
    x = 2,432.89

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