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Finding the Fourth Proportional to 5,536.24, 7,636.10 and 3,296.38

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Solution

The fourth proportional to 5,536.24, 7,636.10 and 3,296.38 is: 4,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.24 : 7,636.10 = 3,296.38 : x
  2. Step 2: Convert to fraction form
    5,536.24/7,636.10 = 3,296.38/x
  3. Step 3: Cross multiply
    5,536.24x = 7,636.10 × 3,296.38
  4. Step 4: Simplify right side
    5,536.24x = 25,171,487.32
  5. Step 5: Solve for x
    x = 25,171,487.32/5,536.24
  6. Step 6: Final answer
    x = 4,546.68

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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.