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Finding the Fourth Proportional to 5,289.20, 7,935.70 and 3,213.44

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Solution

The fourth proportional to 5,289.20, 7,935.70 and 3,213.44 is: 4,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.20 : 7,935.70 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    5,289.20/7,935.70 = 3,213.44/x
  3. Step 3: Cross multiply
    5,289.20x = 7,935.70 × 3,213.44
  4. Step 4: Simplify right side
    5,289.20x = 25,500,895.81
  5. Step 5: Solve for x
    x = 25,500,895.81/5,289.20
  6. Step 6: Final answer
    x = 4,821.31

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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.