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Finding the Fourth Proportional to 3,840.78, 5,297.43 and 2,646.15

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Solution

The fourth proportional to 3,840.78, 5,297.43 and 2,646.15 is: 3,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.78 : 5,297.43 = 2,646.15 : x
  2. Step 2: Convert to fraction form
    3,840.78/5,297.43 = 2,646.15/x
  3. Step 3: Cross multiply
    3,840.78x = 5,297.43 × 2,646.15
  4. Step 4: Simplify right side
    3,840.78x = 14,017,794.39
  5. Step 5: Solve for x
    x = 14,017,794.39/3,840.78
  6. Step 6: Final answer
    x = 3,649.73

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