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Finding the Fourth Proportional to 2,867.98, 3,932.04 and 2,816.14

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Solution

The fourth proportional to 2,867.98, 3,932.04 and 2,816.14 is: 3,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.98 : 3,932.04 = 2,816.14 : x
  2. Step 2: Convert to fraction form
    2,867.98/3,932.04 = 2,816.14/x
  3. Step 3: Cross multiply
    2,867.98x = 3,932.04 × 2,816.14
  4. Step 4: Simplify right side
    2,867.98x = 11,073,175.13
  5. Step 5: Solve for x
    x = 11,073,175.13/2,867.98
  6. Step 6: Final answer
    x = 3,860.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.