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Finding the Fourth Proportional to 5,161.32, 7,735.50 and 3,082.86

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Solution

The fourth proportional to 5,161.32, 7,735.50 and 3,082.86 is: 4,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.32 : 7,735.50 = 3,082.86 : x
  2. Step 2: Convert to fraction form
    5,161.32/7,735.50 = 3,082.86/x
  3. Step 3: Cross multiply
    5,161.32x = 7,735.50 × 3,082.86
  4. Step 4: Simplify right side
    5,161.32x = 23,847,463.53
  5. Step 5: Solve for x
    x = 23,847,463.53/5,161.32
  6. Step 6: Final answer
    x = 4,620.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.