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Finding the Fourth Proportional to 3,838.38, 5,296.97 and 2,266.58

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Solution

The fourth proportional to 3,838.38, 5,296.97 and 2,266.58 is: 3,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.38 : 5,296.97 = 2,266.58 : x
  2. Step 2: Convert to fraction form
    3,838.38/5,296.97 = 2,266.58/x
  3. Step 3: Cross multiply
    3,838.38x = 5,296.97 × 2,266.58
  4. Step 4: Simplify right side
    3,838.38x = 12,006,006.26
  5. Step 5: Solve for x
    x = 12,006,006.26/3,838.38
  6. Step 6: Final answer
    x = 3,127.88

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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.