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Finding the Fourth Proportional to 4,694.34, 6,478.20 and 2,704.86

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Solution

The fourth proportional to 4,694.34, 6,478.20 and 2,704.86 is: 3,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.34 : 6,478.20 = 2,704.86 : x
  2. Step 2: Convert to fraction form
    4,694.34/6,478.20 = 2,704.86/x
  3. Step 3: Cross multiply
    4,694.34x = 6,478.20 × 2,704.86
  4. Step 4: Simplify right side
    4,694.34x = 17,522,624.05
  5. Step 5: Solve for x
    x = 17,522,624.05/4,694.34
  6. Step 6: Final answer
    x = 3,732.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.