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Finding the Fourth Proportional to 5,537.68, 7,638 and 3,766.12

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Solution

The fourth proportional to 5,537.68, 7,638 and 3,766.12 is: 5,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.68 : 7,638 = 3,766.12 : x
  2. Step 2: Convert to fraction form
    5,537.68/7,638 = 3,766.12/x
  3. Step 3: Cross multiply
    5,537.68x = 7,638 × 3,766.12
  4. Step 4: Simplify right side
    5,537.68x = 28,765,624.56
  5. Step 5: Solve for x
    x = 28,765,624.56/5,537.68
  6. Step 6: Final answer
    x = 5,194.53

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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.