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Finding the Fourth Proportional to 4,906.85, 7,359.08 and 3,439.20

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Solution

The fourth proportional to 4,906.85, 7,359.08 and 3,439.20 is: 5,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.85 : 7,359.08 = 3,439.20 : x
  2. Step 2: Convert to fraction form
    4,906.85/7,359.08 = 3,439.20/x
  3. Step 3: Cross multiply
    4,906.85x = 7,359.08 × 3,439.20
  4. Step 4: Simplify right side
    4,906.85x = 25,309,330.74
  5. Step 5: Solve for x
    x = 25,309,330.74/4,906.85
  6. Step 6: Final answer
    x = 5,157.96

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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.