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Finding the Fourth Proportional to 3,462.02, 5,192.96 and 864.96

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Solution

The fourth proportional to 3,462.02, 5,192.96 and 864.96 is: 1,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.02 : 5,192.96 = 864.96 : x
  2. Step 2: Convert to fraction form
    3,462.02/5,192.96 = 864.96/x
  3. Step 3: Cross multiply
    3,462.02x = 5,192.96 × 864.96
  4. Step 4: Simplify right side
    3,462.02x = 4,491,702.68
  5. Step 5: Solve for x
    x = 4,491,702.68/3,462.02
  6. Step 6: Final answer
    x = 1,297.42

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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.