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Finding the Fourth Proportional to 5,846.46, 8,067 and 3,488.82

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Solution

The fourth proportional to 5,846.46, 8,067 and 3,488.82 is: 4,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.46 : 8,067 = 3,488.82 : x
  2. Step 2: Convert to fraction form
    5,846.46/8,067 = 3,488.82/x
  3. Step 3: Cross multiply
    5,846.46x = 8,067 × 3,488.82
  4. Step 4: Simplify right side
    5,846.46x = 28,144,310.94
  5. Step 5: Solve for x
    x = 28,144,310.94/5,846.46
  6. Step 6: Final answer
    x = 4,813.91

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1.5x scale

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.