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Finding the Fourth Proportional to 5,297.28, 7,942.08 and 2,525.76

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Solution

The fourth proportional to 5,297.28, 7,942.08 and 2,525.76 is: 3,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.28 : 7,942.08 = 2,525.76 : x
  2. Step 2: Convert to fraction form
    5,297.28/7,942.08 = 2,525.76/x
  3. Step 3: Cross multiply
    5,297.28x = 7,942.08 × 2,525.76
  4. Step 4: Simplify right side
    5,297.28x = 20,059,787.98
  5. Step 5: Solve for x
    x = 20,059,787.98/5,297.28
  6. Step 6: Final answer
    x = 3,786.81

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Why These Related Problems?

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