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Finding the Fourth Proportional to 4,189.83, 5,822.03 and 4,144.26

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Solution

The fourth proportional to 4,189.83, 5,822.03 and 4,144.26 is: 5,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.83 : 5,822.03 = 4,144.26 : x
  2. Step 2: Convert to fraction form
    4,189.83/5,822.03 = 4,144.26/x
  3. Step 3: Cross multiply
    4,189.83x = 5,822.03 × 4,144.26
  4. Step 4: Simplify right side
    4,189.83x = 24,128,006.05
  5. Step 5: Solve for x
    x = 24,128,006.05/4,189.83
  6. Step 6: Final answer
    x = 5,758.71

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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.