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Finding the Fourth Proportional to 3,817.32, 5,272.05 and 3,073.74

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Solution

The fourth proportional to 3,817.32, 5,272.05 and 3,073.74 is: 4,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.32 : 5,272.05 = 3,073.74 : x
  2. Step 2: Convert to fraction form
    3,817.32/5,272.05 = 3,073.74/x
  3. Step 3: Cross multiply
    3,817.32x = 5,272.05 × 3,073.74
  4. Step 4: Simplify right side
    3,817.32x = 16,204,910.97
  5. Step 5: Solve for x
    x = 16,204,910.97/3,817.32
  6. Step 6: Final answer
    x = 4,245.10

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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.