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Finding the Fourth Proportional to 5,663.97, 7,814.10 and 4,175.43

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Solution

The fourth proportional to 5,663.97, 7,814.10 and 4,175.43 is: 5,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.97 : 7,814.10 = 4,175.43 : x
  2. Step 2: Convert to fraction form
    5,663.97/7,814.10 = 4,175.43/x
  3. Step 3: Cross multiply
    5,663.97x = 7,814.10 × 4,175.43
  4. Step 4: Simplify right side
    5,663.97x = 32,627,227.56
  5. Step 5: Solve for x
    x = 32,627,227.56/5,663.97
  6. Step 6: Final answer
    x = 5,760.49

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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.