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Finding the Fourth Proportional to 3,640.86, 5,462.10 and 1,175.22

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Solution

The fourth proportional to 3,640.86, 5,462.10 and 1,175.22 is: 1,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.86 : 5,462.10 = 1,175.22 : x
  2. Step 2: Convert to fraction form
    3,640.86/5,462.10 = 1,175.22/x
  3. Step 3: Cross multiply
    3,640.86x = 5,462.10 × 1,175.22
  4. Step 4: Simplify right side
    3,640.86x = 6,419,169.16
  5. Step 5: Solve for x
    x = 6,419,169.16/3,640.86
  6. Step 6: Final answer
    x = 1,763.09

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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.