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Finding the Fourth Proportional to 5,628.70, 7,766.31 and 3,269.44

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Solution

The fourth proportional to 5,628.70, 7,766.31 and 3,269.44 is: 4,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.70 : 7,766.31 = 3,269.44 : x
  2. Step 2: Convert to fraction form
    5,628.70/7,766.31 = 3,269.44/x
  3. Step 3: Cross multiply
    5,628.70x = 7,766.31 × 3,269.44
  4. Step 4: Simplify right side
    5,628.70x = 25,391,484.57
  5. Step 5: Solve for x
    x = 25,391,484.57/5,628.70
  6. Step 6: Final answer
    x = 4,511.07

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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.