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Finding the Fourth Proportional to 5,768.33, 7,908.37 and 5,663.23

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Solution

The fourth proportional to 5,768.33, 7,908.37 and 5,663.23 is: 7,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.33 : 7,908.37 = 5,663.23 : x
  2. Step 2: Convert to fraction form
    5,768.33/7,908.37 = 5,663.23/x
  3. Step 3: Cross multiply
    5,768.33x = 7,908.37 × 5,663.23
  4. Step 4: Simplify right side
    5,768.33x = 44,786,884.31
  5. Step 5: Solve for x
    x = 44,786,884.31/5,768.33
  6. Step 6: Final answer
    x = 7,764.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.