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Finding the Fourth Proportional to 3,644.10, 5,462.10 and 2,001.83

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Solution

The fourth proportional to 3,644.10, 5,462.10 and 2,001.83 is: 3,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.10 : 5,462.10 = 2,001.83 : x
  2. Step 2: Convert to fraction form
    3,644.10/5,462.10 = 2,001.83/x
  3. Step 3: Cross multiply
    3,644.10x = 5,462.10 × 2,001.83
  4. Step 4: Simplify right side
    3,644.10x = 10,934,168.33
  5. Step 5: Solve for x
    x = 10,934,168.33/3,644.10
  6. Step 6: Final answer
    x = 3,000.51

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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.