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Finding the Fourth Proportional to 5,626.89, 7,767.77 and 3,268.17

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Solution

The fourth proportional to 5,626.89, 7,767.77 and 3,268.17 is: 4,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.89 : 7,767.77 = 3,268.17 : x
  2. Step 2: Convert to fraction form
    5,626.89/7,767.77 = 3,268.17/x
  3. Step 3: Cross multiply
    5,626.89x = 7,767.77 × 3,268.17
  4. Step 4: Simplify right side
    5,626.89x = 25,386,376.54
  5. Step 5: Solve for x
    x = 25,386,376.54/5,626.89
  6. Step 6: Final answer
    x = 4,511.62

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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.