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Finding the Fourth Proportional to 3,696.96, 5,529.24 and 3,217.44

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Solution

The fourth proportional to 3,696.96, 5,529.24 and 3,217.44 is: 4,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.96 : 5,529.24 = 3,217.44 : x
  2. Step 2: Convert to fraction form
    3,696.96/5,529.24 = 3,217.44/x
  3. Step 3: Cross multiply
    3,696.96x = 5,529.24 × 3,217.44
  4. Step 4: Simplify right side
    3,696.96x = 17,789,997.95
  5. Step 5: Solve for x
    x = 17,789,997.95/3,696.96
  6. Step 6: Final answer
    x = 4,812.06

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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.