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Finding the Fourth Proportional to 4,824.28, 7,234.26 and 3,364.12

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Solution

The fourth proportional to 4,824.28, 7,234.26 and 3,364.12 is: 5,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.28 : 7,234.26 = 3,364.12 : x
  2. Step 2: Convert to fraction form
    4,824.28/7,234.26 = 3,364.12/x
  3. Step 3: Cross multiply
    4,824.28x = 7,234.26 × 3,364.12
  4. Step 4: Simplify right side
    4,824.28x = 24,336,918.75
  5. Step 5: Solve for x
    x = 24,336,918.75/4,824.28
  6. Step 6: Final answer
    x = 5,044.67

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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.