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Finding the Fourth Proportional to 5,735.33, 7,913.99 and 3,183.05

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Solution

The fourth proportional to 5,735.33, 7,913.99 and 3,183.05 is: 4,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.33 : 7,913.99 = 3,183.05 : x
  2. Step 2: Convert to fraction form
    5,735.33/7,913.99 = 3,183.05/x
  3. Step 3: Cross multiply
    5,735.33x = 7,913.99 × 3,183.05
  4. Step 4: Simplify right side
    5,735.33x = 25,190,625.87
  5. Step 5: Solve for x
    x = 25,190,625.87/5,735.33
  6. Step 6: Final answer
    x = 4,392.18

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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.