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Finding the Fourth Proportional to 3,461.38, 5,192.07 and 864.32

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Solution

The fourth proportional to 3,461.38, 5,192.07 and 864.32 is: 1,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.38 : 5,192.07 = 864.32 : x
  2. Step 2: Convert to fraction form
    3,461.38/5,192.07 = 864.32/x
  3. Step 3: Cross multiply
    3,461.38x = 5,192.07 × 864.32
  4. Step 4: Simplify right side
    3,461.38x = 4,487,605.62
  5. Step 5: Solve for x
    x = 4,487,605.62/3,461.38
  6. Step 6: Final answer
    x = 1,296.48

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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.