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Finding the Fourth Proportional to 5,161.32, 7,126.32 and 3,174.56

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Solution

The fourth proportional to 5,161.32, 7,126.32 and 3,174.56 is: 4,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.32 : 7,126.32 = 3,174.56 : x
  2. Step 2: Convert to fraction form
    5,161.32/7,126.32 = 3,174.56/x
  3. Step 3: Cross multiply
    5,161.32x = 7,126.32 × 3,174.56
  4. Step 4: Simplify right side
    5,161.32x = 22,622,930.42
  5. Step 5: Solve for x
    x = 22,622,930.42/5,161.32
  6. Step 6: Final answer
    x = 4,383.17

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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.