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Finding the Fourth Proportional to 4,770.72, 6,584.88 and 2,782.08

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Solution

The fourth proportional to 4,770.72, 6,584.88 and 2,782.08 is: 3,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.72 : 6,584.88 = 2,782.08 : x
  2. Step 2: Convert to fraction form
    4,770.72/6,584.88 = 2,782.08/x
  3. Step 3: Cross multiply
    4,770.72x = 6,584.88 × 2,782.08
  4. Step 4: Simplify right side
    4,770.72x = 18,319,662.95
  5. Step 5: Solve for x
    x = 18,319,662.95/4,770.72
  6. Step 6: Final answer
    x = 3,840.02

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