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Finding the Fourth Proportional to 3,817.35, 5,257.17 and 3,282.35

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Solution

The fourth proportional to 3,817.35, 5,257.17 and 3,282.35 is: 4,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.35 : 5,257.17 = 3,282.35 : x
  2. Step 2: Convert to fraction form
    3,817.35/5,257.17 = 3,282.35/x
  3. Step 3: Cross multiply
    3,817.35x = 5,257.17 × 3,282.35
  4. Step 4: Simplify right side
    3,817.35x = 17,255,845.66
  5. Step 5: Solve for x
    x = 17,255,845.66/3,817.35
  6. Step 6: Final answer
    x = 4,520.37

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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.