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Finding the Fourth Proportional to 5,626.62, 7,765.17 and 3,268.62

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Solution

The fourth proportional to 5,626.62, 7,765.17 and 3,268.62 is: 4,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.62 : 7,765.17 = 3,268.62 : x
  2. Step 2: Convert to fraction form
    5,626.62/7,765.17 = 3,268.62/x
  3. Step 3: Cross multiply
    5,626.62x = 7,765.17 × 3,268.62
  4. Step 4: Simplify right side
    5,626.62x = 25,381,389.97
  5. Step 5: Solve for x
    x = 25,381,389.97/5,626.62
  6. Step 6: Final answer
    x = 4,510.95

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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.