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Finding the Fourth Proportional to 5,206.23, 7,183.78 and 2,968.20

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Solution

The fourth proportional to 5,206.23, 7,183.78 and 2,968.20 is: 4,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.23 : 7,183.78 = 2,968.20 : x
  2. Step 2: Convert to fraction form
    5,206.23/7,183.78 = 2,968.20/x
  3. Step 3: Cross multiply
    5,206.23x = 7,183.78 × 2,968.20
  4. Step 4: Simplify right side
    5,206.23x = 21,322,895.80
  5. Step 5: Solve for x
    x = 21,322,895.80/5,206.23
  6. Step 6: Final answer
    x = 4,095.65

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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.