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Finding the Fourth Proportional to 5,471.30, 8,194.80 and 4,234.70

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Solution

The fourth proportional to 5,471.30, 8,194.80 and 4,234.70 is: 6,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.30 : 8,194.80 = 4,234.70 : x
  2. Step 2: Convert to fraction form
    5,471.30/8,194.80 = 4,234.70/x
  3. Step 3: Cross multiply
    5,471.30x = 8,194.80 × 4,234.70
  4. Step 4: Simplify right side
    5,471.30x = 34,702,519.56
  5. Step 5: Solve for x
    x = 34,702,519.56/5,471.30
  6. Step 6: Final answer
    x = 6,342.65

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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.