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Finding the Fourth Proportional to 3,404.69, 5,105.96 and 1,212.83

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Solution

The fourth proportional to 3,404.69, 5,105.96 and 1,212.83 is: 1,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.69 : 5,105.96 = 1,212.83 : x
  2. Step 2: Convert to fraction form
    3,404.69/5,105.96 = 1,212.83/x
  3. Step 3: Cross multiply
    3,404.69x = 5,105.96 × 1,212.83
  4. Step 4: Simplify right side
    3,404.69x = 6,192,655.40
  5. Step 5: Solve for x
    x = 6,192,655.40/3,404.69
  6. Step 6: Final answer
    x = 1,818.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.