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Finding the Fourth Proportional to 2,843.64, 3,940.83 and 2,804.00

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Solution

The fourth proportional to 2,843.64, 3,940.83 and 2,804.00 is: 3,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.64 : 3,940.83 = 2,804.00 : x
  2. Step 2: Convert to fraction form
    2,843.64/3,940.83 = 2,804.00/x
  3. Step 3: Cross multiply
    2,843.64x = 3,940.83 × 2,804.00
  4. Step 4: Simplify right side
    2,843.64x = 11,050,067.62
  5. Step 5: Solve for x
    x = 11,050,067.62/2,843.64
  6. Step 6: Final answer
    x = 3,885.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.