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Finding the Fourth Proportional to 3,825.44, 5,279.28 and 2,996

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Solution

The fourth proportional to 3,825.44, 5,279.28 and 2,996 is: 4,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.44 : 5,279.28 = 2,996 : x
  2. Step 2: Convert to fraction form
    3,825.44/5,279.28 = 2,996/x
  3. Step 3: Cross multiply
    3,825.44x = 5,279.28 × 2,996
  4. Step 4: Simplify right side
    3,825.44x = 15,816,722.88
  5. Step 5: Solve for x
    x = 15,816,722.88/3,825.44
  6. Step 6: Final answer
    x = 4,134.62

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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.