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Finding the Fourth Proportional to 7,288, 10,057.44 and 3,976

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Solution

The fourth proportional to 7,288, 10,057.44 and 3,976 is: 5,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288 : 10,057.44 = 3,976 : x
  2. Step 2: Convert to fraction form
    7,288/10,057.44 = 3,976/x
  3. Step 3: Cross multiply
    7,288x = 10,057.44 × 3,976
  4. Step 4: Simplify right side
    7,288x = 39,988,381.44
  5. Step 5: Solve for x
    x = 39,988,381.44/7,288
  6. Step 6: Final answer
    x = 5,486.88

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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.