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Finding the Fourth Proportional to 5,846, 8,067.96 and 3,328.94

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Solution

The fourth proportional to 5,846, 8,067.96 and 3,328.94 is: 4,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846 : 8,067.96 = 3,328.94 : x
  2. Step 2: Convert to fraction form
    5,846/8,067.96 = 3,328.94/x
  3. Step 3: Cross multiply
    5,846x = 8,067.96 × 3,328.94
  4. Step 4: Simplify right side
    5,846x = 26,857,754.76
  5. Step 5: Solve for x
    x = 26,857,754.76/5,846
  6. Step 6: Final answer
    x = 4,594.21

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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.