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Finding the Fourth Proportional to 4,696.34, 7,067.03 and 3,869.37

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Solution

The fourth proportional to 4,696.34, 7,067.03 and 3,869.37 is: 5,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.34 : 7,067.03 = 3,869.37 : x
  2. Step 2: Convert to fraction form
    4,696.34/7,067.03 = 3,869.37/x
  3. Step 3: Cross multiply
    4,696.34x = 7,067.03 × 3,869.37
  4. Step 4: Simplify right side
    4,696.34x = 27,344,934.52
  5. Step 5: Solve for x
    x = 27,344,934.52/4,696.34
  6. Step 6: Final answer
    x = 5,822.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.