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Finding the Fourth Proportional to 4,770.78, 6,583.59 and 2,646.24

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Solution

The fourth proportional to 4,770.78, 6,583.59 and 2,646.24 is: 3,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.78 : 6,583.59 = 2,646.24 : x
  2. Step 2: Convert to fraction form
    4,770.78/6,583.59 = 2,646.24/x
  3. Step 3: Cross multiply
    4,770.78x = 6,583.59 × 2,646.24
  4. Step 4: Simplify right side
    4,770.78x = 17,421,759.20
  5. Step 5: Solve for x
    x = 17,421,759.20/4,770.78
  6. Step 6: Final answer
    x = 3,651.76

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