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Finding the Fourth Proportional to 3,817.54, 5,262.97 and 2,636.58

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Solution

The fourth proportional to 3,817.54, 5,262.97 and 2,636.58 is: 3,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.54 : 5,262.97 = 2,636.58 : x
  2. Step 2: Convert to fraction form
    3,817.54/5,262.97 = 2,636.58/x
  3. Step 3: Cross multiply
    3,817.54x = 5,262.97 × 2,636.58
  4. Step 4: Simplify right side
    3,817.54x = 13,876,241.44
  5. Step 5: Solve for x
    x = 13,876,241.44/3,817.54
  6. Step 6: Final answer
    x = 3,634.86

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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.