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Finding the Fourth Proportional to 3,589.50, 5,387.88 and 3,221.76

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Solution

The fourth proportional to 3,589.50, 5,387.88 and 3,221.76 is: 4,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.50 : 5,387.88 = 3,221.76 : x
  2. Step 2: Convert to fraction form
    3,589.50/5,387.88 = 3,221.76/x
  3. Step 3: Cross multiply
    3,589.50x = 5,387.88 × 3,221.76
  4. Step 4: Simplify right side
    3,589.50x = 17,358,456.27
  5. Step 5: Solve for x
    x = 17,358,456.27/3,589.50
  6. Step 6: Final answer
    x = 4,835.90

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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.