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Finding the Fourth Proportional to 4,874.28, 7,309.26 and 3,414.12

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Solution

The fourth proportional to 4,874.28, 7,309.26 and 3,414.12 is: 5,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.28 : 7,309.26 = 3,414.12 : x
  2. Step 2: Convert to fraction form
    4,874.28/7,309.26 = 3,414.12/x
  3. Step 3: Cross multiply
    4,874.28x = 7,309.26 × 3,414.12
  4. Step 4: Simplify right side
    4,874.28x = 24,954,690.75
  5. Step 5: Solve for x
    x = 24,954,690.75/4,874.28
  6. Step 6: Final answer
    x = 5,119.67

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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.