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Finding the Fourth Proportional to 4,493.71, 6,730.74 and 3,704.85

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Solution

The fourth proportional to 4,493.71, 6,730.74 and 3,704.85 is: 5,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.71 : 6,730.74 = 3,704.85 : x
  2. Step 2: Convert to fraction form
    4,493.71/6,730.74 = 3,704.85/x
  3. Step 3: Cross multiply
    4,493.71x = 6,730.74 × 3,704.85
  4. Step 4: Simplify right side
    4,493.71x = 24,936,348.44
  5. Step 5: Solve for x
    x = 24,936,348.44/4,493.71
  6. Step 6: Final answer
    x = 5,549.17

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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.