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Finding the Fourth Proportional to 3,824.69, 5,737.03 and 1,229.45

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Solution

The fourth proportional to 3,824.69, 5,737.03 and 1,229.45 is: 1,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.69 : 5,737.03 = 1,229.45 : x
  2. Step 2: Convert to fraction form
    3,824.69/5,737.03 = 1,229.45/x
  3. Step 3: Cross multiply
    3,824.69x = 5,737.03 × 1,229.45
  4. Step 4: Simplify right side
    3,824.69x = 7,053,391.53
  5. Step 5: Solve for x
    x = 7,053,391.53/3,824.69
  6. Step 6: Final answer
    x = 1,844.17

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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.