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Finding the Fourth Proportional to 3,846.95, 5,270.34 and 3,702.97

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Solution

The fourth proportional to 3,846.95, 5,270.34 and 3,702.97 is: 5,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.95 : 5,270.34 = 3,702.97 : x
  2. Step 2: Convert to fraction form
    3,846.95/5,270.34 = 3,702.97/x
  3. Step 3: Cross multiply
    3,846.95x = 5,270.34 × 3,702.97
  4. Step 4: Simplify right side
    3,846.95x = 19,515,910.91
  5. Step 5: Solve for x
    x = 19,515,910.91/3,846.95
  6. Step 6: Final answer
    x = 5,073.09

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1.5x scale

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.