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Finding the Fourth Proportional to 5,723.82, 7,898.31 and 3,366.54

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Solution

The fourth proportional to 5,723.82, 7,898.31 and 3,366.54 is: 4,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.82 : 7,898.31 = 3,366.54 : x
  2. Step 2: Convert to fraction form
    5,723.82/7,898.31 = 3,366.54/x
  3. Step 3: Cross multiply
    5,723.82x = 7,898.31 × 3,366.54
  4. Step 4: Simplify right side
    5,723.82x = 26,589,976.55
  5. Step 5: Solve for x
    x = 26,589,976.55/5,723.82
  6. Step 6: Final answer
    x = 4,645.49

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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.