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Finding the Fourth Proportional to 3,611.46, 5,385.62 and 3,213.24

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Solution

The fourth proportional to 3,611.46, 5,385.62 and 3,213.24 is: 4,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.46 : 5,385.62 = 3,213.24 : x
  2. Step 2: Convert to fraction form
    3,611.46/5,385.62 = 3,213.24/x
  3. Step 3: Cross multiply
    3,611.46x = 5,385.62 × 3,213.24
  4. Step 4: Simplify right side
    3,611.46x = 17,305,289.61
  5. Step 5: Solve for x
    x = 17,305,289.61/3,611.46
  6. Step 6: Final answer
    x = 4,791.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.