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Finding the Fourth Proportional to 5,446.41, 8,164.46 and 4,269.88

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Solution

The fourth proportional to 5,446.41, 8,164.46 and 4,269.88 is: 6,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.41 : 8,164.46 = 4,269.88 : x
  2. Step 2: Convert to fraction form
    5,446.41/8,164.46 = 4,269.88/x
  3. Step 3: Cross multiply
    5,446.41x = 8,164.46 × 4,269.88
  4. Step 4: Simplify right side
    5,446.41x = 34,861,285.35
  5. Step 5: Solve for x
    x = 34,861,285.35/5,446.41
  6. Step 6: Final answer
    x = 6,400.79

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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.