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Finding the Fourth Proportional to 5,204.87, 7,183.84 and 3,316.00

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Solution

The fourth proportional to 5,204.87, 7,183.84 and 3,316.00 is: 4,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.87 : 7,183.84 = 3,316.00 : x
  2. Step 2: Convert to fraction form
    5,204.87/7,183.84 = 3,316.00/x
  3. Step 3: Cross multiply
    5,204.87x = 7,183.84 × 3,316.00
  4. Step 4: Simplify right side
    5,204.87x = 23,821,616.98
  5. Step 5: Solve for x
    x = 23,821,616.98/5,204.87
  6. Step 6: Final answer
    x = 4,576.79

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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.