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Finding the Fourth Proportional to 4,566.40, 6,847.80 and 1,643.20

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Solution

The fourth proportional to 4,566.40, 6,847.80 and 1,643.20 is: 2,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.40 : 6,847.80 = 1,643.20 : x
  2. Step 2: Convert to fraction form
    4,566.40/6,847.80 = 1,643.20/x
  3. Step 3: Cross multiply
    4,566.40x = 6,847.80 × 1,643.20
  4. Step 4: Simplify right side
    4,566.40x = 11,252,304.96
  5. Step 5: Solve for x
    x = 11,252,304.96/4,566.40
  6. Step 6: Final answer
    x = 2,464.15

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