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Finding the Fourth Proportional to 5,392.66, 7,438.17 and 3,297.82

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Solution

The fourth proportional to 5,392.66, 7,438.17 and 3,297.82 is: 4,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.66 : 7,438.17 = 3,297.82 : x
  2. Step 2: Convert to fraction form
    5,392.66/7,438.17 = 3,297.82/x
  3. Step 3: Cross multiply
    5,392.66x = 7,438.17 × 3,297.82
  4. Step 4: Simplify right side
    5,392.66x = 24,529,745.79
  5. Step 5: Solve for x
    x = 24,529,745.79/5,392.66
  6. Step 6: Final answer
    x = 4,548.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.