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Finding the Fourth Proportional to 5,806, 8,012.28 and 3,322

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Solution

The fourth proportional to 5,806, 8,012.28 and 3,322 is: 4,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806 : 8,012.28 = 3,322 : x
  2. Step 2: Convert to fraction form
    5,806/8,012.28 = 3,322/x
  3. Step 3: Cross multiply
    5,806x = 8,012.28 × 3,322
  4. Step 4: Simplify right side
    5,806x = 26,616,794.16
  5. Step 5: Solve for x
    x = 26,616,794.16/5,806
  6. Step 6: Final answer
    x = 4,584.36

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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.