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Finding the Fourth Proportional to 3,683.21, 5,071.20 and 3,251.57

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Solution

The fourth proportional to 3,683.21, 5,071.20 and 3,251.57 is: 4,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.21 : 5,071.20 = 3,251.57 : x
  2. Step 2: Convert to fraction form
    3,683.21/5,071.20 = 3,251.57/x
  3. Step 3: Cross multiply
    3,683.21x = 5,071.20 × 3,251.57
  4. Step 4: Simplify right side
    3,683.21x = 16,489,361.78
  5. Step 5: Solve for x
    x = 16,489,361.78/3,683.21
  6. Step 6: Final answer
    x = 4,476.90

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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.