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Finding the Fourth Proportional to 3,067.84, 4,228.68 and 2,071.38

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Solution

The fourth proportional to 3,067.84, 4,228.68 and 2,071.38 is: 2,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.84 : 4,228.68 = 2,071.38 : x
  2. Step 2: Convert to fraction form
    3,067.84/4,228.68 = 2,071.38/x
  3. Step 3: Cross multiply
    3,067.84x = 4,228.68 × 2,071.38
  4. Step 4: Simplify right side
    3,067.84x = 8,759,203.18
  5. Step 5: Solve for x
    x = 8,759,203.18/3,067.84
  6. Step 6: Final answer
    x = 2,855.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.