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Finding the Fourth Proportional to 4,294.24, 5,922.48 and 2,801.44

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Solution

The fourth proportional to 4,294.24, 5,922.48 and 2,801.44 is: 3,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.24 : 5,922.48 = 2,801.44 : x
  2. Step 2: Convert to fraction form
    4,294.24/5,922.48 = 2,801.44/x
  3. Step 3: Cross multiply
    4,294.24x = 5,922.48 × 2,801.44
  4. Step 4: Simplify right side
    4,294.24x = 16,591,472.37
  5. Step 5: Solve for x
    x = 16,591,472.37/4,294.24
  6. Step 6: Final answer
    x = 3,863.66

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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.