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Finding the Fourth Proportional to 4,164.27, 6,251.90 and 3,820.43

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Solution

The fourth proportional to 4,164.27, 6,251.90 and 3,820.43 is: 5,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.27 : 6,251.90 = 3,820.43 : x
  2. Step 2: Convert to fraction form
    4,164.27/6,251.90 = 3,820.43/x
  3. Step 3: Cross multiply
    4,164.27x = 6,251.90 × 3,820.43
  4. Step 4: Simplify right side
    4,164.27x = 23,884,895.96
  5. Step 5: Solve for x
    x = 23,884,895.96/4,164.27
  6. Step 6: Final answer
    x = 5,735.67

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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.