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Finding the Fourth Proportional to 3,284.69, 4,925.97 and 1,092.83

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Solution

The fourth proportional to 3,284.69, 4,925.97 and 1,092.83 is: 1,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.69 : 4,925.97 = 1,092.83 : x
  2. Step 2: Convert to fraction form
    3,284.69/4,925.97 = 1,092.83/x
  3. Step 3: Cross multiply
    3,284.69x = 4,925.97 × 1,092.83
  4. Step 4: Simplify right side
    3,284.69x = 5,383,217.70
  5. Step 5: Solve for x
    x = 5,383,217.70/3,284.69
  6. Step 6: Final answer
    x = 1,638.88

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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.