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Finding the Fourth Proportional to 5,229.23, 7,843.89 and 1,333.64

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Solution

The fourth proportional to 5,229.23, 7,843.89 and 1,333.64 is: 2,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.23 : 7,843.89 = 1,333.64 : x
  2. Step 2: Convert to fraction form
    5,229.23/7,843.89 = 1,333.64/x
  3. Step 3: Cross multiply
    5,229.23x = 7,843.89 × 1,333.64
  4. Step 4: Simplify right side
    5,229.23x = 10,460,886.24
  5. Step 5: Solve for x
    x = 10,460,886.24/5,229.23
  6. Step 6: Final answer
    x = 2,000.47

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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.