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Finding the Fourth Proportional to 5,753.82, 7,937.46 and 3,394.58

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Solution

The fourth proportional to 5,753.82, 7,937.46 and 3,394.58 is: 4,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.82 : 7,937.46 = 3,394.58 : x
  2. Step 2: Convert to fraction form
    5,753.82/7,937.46 = 3,394.58/x
  3. Step 3: Cross multiply
    5,753.82x = 7,937.46 × 3,394.58
  4. Step 4: Simplify right side
    5,753.82x = 26,944,342.97
  5. Step 5: Solve for x
    x = 26,944,342.97/5,753.82
  6. Step 6: Final answer
    x = 4,682.86

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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.