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Finding the Fourth Proportional to 5,229.54, 7,844.19 and 1,333.96

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Solution

The fourth proportional to 5,229.54, 7,844.19 and 1,333.96 is: 2,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.54 : 7,844.19 = 1,333.96 : x
  2. Step 2: Convert to fraction form
    5,229.54/7,844.19 = 1,333.96/x
  3. Step 3: Cross multiply
    5,229.54x = 7,844.19 × 1,333.96
  4. Step 4: Simplify right side
    5,229.54x = 10,463,835.69
  5. Step 5: Solve for x
    x = 10,463,835.69/5,229.54
  6. Step 6: Final answer
    x = 2,000.91

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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.