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Finding the Fourth Proportional to 3,721.62, 5,582.50 and 1,529.87

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Solution

The fourth proportional to 3,721.62, 5,582.50 and 1,529.87 is: 2,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.62 : 5,582.50 = 1,529.87 : x
  2. Step 2: Convert to fraction form
    3,721.62/5,582.50 = 1,529.87/x
  3. Step 3: Cross multiply
    3,721.62x = 5,582.50 × 1,529.87
  4. Step 4: Simplify right side
    3,721.62x = 8,540,467.54
  5. Step 5: Solve for x
    x = 8,540,467.54/3,721.62
  6. Step 6: Final answer
    x = 2,294.83

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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.