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Finding the Fourth Proportional to 4,189.94, 5,822.22 and 4,144.38

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Solution

The fourth proportional to 4,189.94, 5,822.22 and 4,144.38 is: 5,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.94 : 5,822.22 = 4,144.38 : x
  2. Step 2: Convert to fraction form
    4,189.94/5,822.22 = 4,144.38/x
  3. Step 3: Cross multiply
    4,189.94x = 5,822.22 × 4,144.38
  4. Step 4: Simplify right side
    4,189.94x = 24,129,476.58
  5. Step 5: Solve for x
    x = 24,129,476.58/4,189.94
  6. Step 6: Final answer
    x = 5,758.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.