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Finding the Fourth Proportional to 5,626.46, 7,766.16 and 3,269.54

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Solution

The fourth proportional to 5,626.46, 7,766.16 and 3,269.54 is: 4,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.46 : 7,766.16 = 3,269.54 : x
  2. Step 2: Convert to fraction form
    5,626.46/7,766.16 = 3,269.54/x
  3. Step 3: Cross multiply
    5,626.46x = 7,766.16 × 3,269.54
  4. Step 4: Simplify right side
    5,626.46x = 25,391,770.77
  5. Step 5: Solve for x
    x = 25,391,770.77/5,626.46
  6. Step 6: Final answer
    x = 4,512.92

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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.