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Finding the Fourth Proportional to 3,824.96, 5,737.36 and 1,227.68

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Solution

The fourth proportional to 3,824.96, 5,737.36 and 1,227.68 is: 1,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.96 : 5,737.36 = 1,227.68 : x
  2. Step 2: Convert to fraction form
    3,824.96/5,737.36 = 1,227.68/x
  3. Step 3: Cross multiply
    3,824.96x = 5,737.36 × 1,227.68
  4. Step 4: Simplify right side
    3,824.96x = 7,043,642.12
  5. Step 5: Solve for x
    x = 7,043,642.12/3,824.96
  6. Step 6: Final answer
    x = 1,841.49

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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.