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Finding the Fourth Proportional to 5,915.63, 8,164.97 and 3,679.22

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Solution

The fourth proportional to 5,915.63, 8,164.97 and 3,679.22 is: 5,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.63 : 8,164.97 = 3,679.22 : x
  2. Step 2: Convert to fraction form
    5,915.63/8,164.97 = 3,679.22/x
  3. Step 3: Cross multiply
    5,915.63x = 8,164.97 × 3,679.22
  4. Step 4: Simplify right side
    5,915.63x = 30,040,736.74
  5. Step 5: Solve for x
    x = 30,040,736.74/5,915.63
  6. Step 6: Final answer
    x = 5,078.20

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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.