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Finding the Fourth Proportional to 4,049.85, 6,074.26 and 1,128.38

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Solution

The fourth proportional to 4,049.85, 6,074.26 and 1,128.38 is: 1,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.85 : 6,074.26 = 1,128.38 : x
  2. Step 2: Convert to fraction form
    4,049.85/6,074.26 = 1,128.38/x
  3. Step 3: Cross multiply
    4,049.85x = 6,074.26 × 1,128.38
  4. Step 4: Simplify right side
    4,049.85x = 6,854,073.50
  5. Step 5: Solve for x
    x = 6,854,073.50/4,049.85
  6. Step 6: Final answer
    x = 1,692.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.