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Finding the Fourth Proportional to 5,096.26, 7,629 and 3,983.32

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Solution

The fourth proportional to 5,096.26, 7,629 and 3,983.32 is: 5,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.26 : 7,629 = 3,983.32 : x
  2. Step 2: Convert to fraction form
    5,096.26/7,629 = 3,983.32/x
  3. Step 3: Cross multiply
    5,096.26x = 7,629 × 3,983.32
  4. Step 4: Simplify right side
    5,096.26x = 30,388,748.28
  5. Step 5: Solve for x
    x = 30,388,748.28/5,096.26
  6. Step 6: Final answer
    x = 5,962.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.