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Finding the Fourth Proportional to 3,209.69, 4,429.19 and 1,793.36

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Solution

The fourth proportional to 3,209.69, 4,429.19 and 1,793.36 is: 2,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.69 : 4,429.19 = 1,793.36 : x
  2. Step 2: Convert to fraction form
    3,209.69/4,429.19 = 1,793.36/x
  3. Step 3: Cross multiply
    3,209.69x = 4,429.19 × 1,793.36
  4. Step 4: Simplify right side
    3,209.69x = 7,943,147.73
  5. Step 5: Solve for x
    x = 7,943,147.73/3,209.69
  6. Step 6: Final answer
    x = 2,474.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.