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Finding the Fourth Proportional to 3,874.96, 5,344.14 and 2,615.68

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Solution

The fourth proportional to 3,874.96, 5,344.14 and 2,615.68 is: 3,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.96 : 5,344.14 = 2,615.68 : x
  2. Step 2: Convert to fraction form
    3,874.96/5,344.14 = 2,615.68/x
  3. Step 3: Cross multiply
    3,874.96x = 5,344.14 × 2,615.68
  4. Step 4: Simplify right side
    3,874.96x = 13,978,560.12
  5. Step 5: Solve for x
    x = 13,978,560.12/3,874.96
  6. Step 6: Final answer
    x = 3,607.41

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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.