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Finding the Fourth Proportional to 3,662.43, 5,488.84 and 1,472.68

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Solution

The fourth proportional to 3,662.43, 5,488.84 and 1,472.68 is: 2,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.43 : 5,488.84 = 1,472.68 : x
  2. Step 2: Convert to fraction form
    3,662.43/5,488.84 = 1,472.68/x
  3. Step 3: Cross multiply
    3,662.43x = 5,488.84 × 1,472.68
  4. Step 4: Simplify right side
    3,662.43x = 8,083,304.89
  5. Step 5: Solve for x
    x = 8,083,304.89/3,662.43
  6. Step 6: Final answer
    x = 2,207.09

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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.