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Finding the Fourth Proportional to 5,671.27, 7,817.68 and 3,988.09

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Solution

The fourth proportional to 5,671.27, 7,817.68 and 3,988.09 is: 5,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.27 : 7,817.68 = 3,988.09 : x
  2. Step 2: Convert to fraction form
    5,671.27/7,817.68 = 3,988.09/x
  3. Step 3: Cross multiply
    5,671.27x = 7,817.68 × 3,988.09
  4. Step 4: Simplify right side
    5,671.27x = 31,177,611.43
  5. Step 5: Solve for x
    x = 31,177,611.43/5,671.27
  6. Step 6: Final answer
    x = 5,497.47

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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.