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Finding the Fourth Proportional to 5,462.97, 7,538.90 and 3,224.87

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Solution

The fourth proportional to 5,462.97, 7,538.90 and 3,224.87 is: 4,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.97 : 7,538.90 = 3,224.87 : x
  2. Step 2: Convert to fraction form
    5,462.97/7,538.90 = 3,224.87/x
  3. Step 3: Cross multiply
    5,462.97x = 7,538.90 × 3,224.87
  4. Step 4: Simplify right side
    5,462.97x = 24,311,972.44
  5. Step 5: Solve for x
    x = 24,311,972.44/5,462.97
  6. Step 6: Final answer
    x = 4,450.32

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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.