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Finding the Fourth Proportional to 2,867.68, 3,984.52 and 2,837.20

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Solution

The fourth proportional to 2,867.68, 3,984.52 and 2,837.20 is: 3,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.68 : 3,984.52 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    2,867.68/3,984.52 = 2,837.20/x
  3. Step 3: Cross multiply
    2,867.68x = 3,984.52 × 2,837.20
  4. Step 4: Simplify right side
    2,867.68x = 11,304,880.14
  5. Step 5: Solve for x
    x = 11,304,880.14/2,867.68
  6. Step 6: Final answer
    x = 3,942.17

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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.