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Finding the Fourth Proportional to 5,667, 7,820.94 and 3,183.48

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Solution

The fourth proportional to 5,667, 7,820.94 and 3,183.48 is: 4,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667 : 7,820.94 = 3,183.48 : x
  2. Step 2: Convert to fraction form
    5,667/7,820.94 = 3,183.48/x
  3. Step 3: Cross multiply
    5,667x = 7,820.94 × 3,183.48
  4. Step 4: Simplify right side
    5,667x = 24,897,806.07
  5. Step 5: Solve for x
    x = 24,897,806.07/5,667
  6. Step 6: Final answer
    x = 4,393.47

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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.