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Finding the Fourth Proportional to 5,229.11, 7,843.62 and 1,333.46

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Solution

The fourth proportional to 5,229.11, 7,843.62 and 1,333.46 is: 2,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.11 : 7,843.62 = 1,333.46 : x
  2. Step 2: Convert to fraction form
    5,229.11/7,843.62 = 1,333.46/x
  3. Step 3: Cross multiply
    5,229.11x = 7,843.62 × 1,333.46
  4. Step 4: Simplify right side
    5,229.11x = 10,459,153.53
  5. Step 5: Solve for x
    x = 10,459,153.53/5,229.11
  6. Step 6: Final answer
    x = 2,000.18

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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.