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Finding the Fourth Proportional to 3,878.02, 5,807.77 and 2,120.40

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Solution

The fourth proportional to 3,878.02, 5,807.77 and 2,120.40 is: 3,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.02 : 5,807.77 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    3,878.02/5,807.77 = 2,120.40/x
  3. Step 3: Cross multiply
    3,878.02x = 5,807.77 × 2,120.40
  4. Step 4: Simplify right side
    3,878.02x = 12,314,755.87
  5. Step 5: Solve for x
    x = 12,314,755.87/3,878.02
  6. Step 6: Final answer
    x = 3,175.53

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