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Finding the Fourth Proportional to 5,229.48, 7,844.19 and 1,333.86

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Solution

The fourth proportional to 5,229.48, 7,844.19 and 1,333.86 is: 2,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.48 : 7,844.19 = 1,333.86 : x
  2. Step 2: Convert to fraction form
    5,229.48/7,844.19 = 1,333.86/x
  3. Step 3: Cross multiply
    5,229.48x = 7,844.19 × 1,333.86
  4. Step 4: Simplify right side
    5,229.48x = 10,463,051.27
  5. Step 5: Solve for x
    x = 10,463,051.27/5,229.48
  6. Step 6: Final answer
    x = 2,000.78

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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.