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Finding the Fourth Proportional to 5,175.35, 7,144.79 and 3,906.35

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Solution

The fourth proportional to 5,175.35, 7,144.79 and 3,906.35 is: 5,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.35 : 7,144.79 = 3,906.35 : x
  2. Step 2: Convert to fraction form
    5,175.35/7,144.79 = 3,906.35/x
  3. Step 3: Cross multiply
    5,175.35x = 7,144.79 × 3,906.35
  4. Step 4: Simplify right side
    5,175.35x = 27,909,995.16
  5. Step 5: Solve for x
    x = 27,909,995.16/5,175.35
  6. Step 6: Final answer
    x = 5,392.88

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