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Finding the Fourth Proportional to 3,665.50, 5,498.24 and 2,021.20

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Solution

The fourth proportional to 3,665.50, 5,498.24 and 2,021.20 is: 3,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.50 : 5,498.24 = 2,021.20 : x
  2. Step 2: Convert to fraction form
    3,665.50/5,498.24 = 2,021.20/x
  3. Step 3: Cross multiply
    3,665.50x = 5,498.24 × 2,021.20
  4. Step 4: Simplify right side
    3,665.50x = 11,113,042.69
  5. Step 5: Solve for x
    x = 11,113,042.69/3,665.50
  6. Step 6: Final answer
    x = 3,031.79

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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.