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Finding the Fourth Proportional to 3,404.50, 5,108.27 and 1,530.77

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Solution

The fourth proportional to 3,404.50, 5,108.27 and 1,530.77 is: 2,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.50 : 5,108.27 = 1,530.77 : x
  2. Step 2: Convert to fraction form
    3,404.50/5,108.27 = 1,530.77/x
  3. Step 3: Cross multiply
    3,404.50x = 5,108.27 × 1,530.77
  4. Step 4: Simplify right side
    3,404.50x = 7,819,553.27
  5. Step 5: Solve for x
    x = 7,819,553.27/3,404.50
  6. Step 6: Final answer
    x = 2,296.83

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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.