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Finding the Fourth Proportional to 5,626.62, 8,438.46 and 1,676.82

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Solution

The fourth proportional to 5,626.62, 8,438.46 and 1,676.82 is: 2,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.62 : 8,438.46 = 1,676.82 : x
  2. Step 2: Convert to fraction form
    5,626.62/8,438.46 = 1,676.82/x
  3. Step 3: Cross multiply
    5,626.62x = 8,438.46 × 1,676.82
  4. Step 4: Simplify right side
    5,626.62x = 14,149,778.50
  5. Step 5: Solve for x
    x = 14,149,778.50/5,626.62
  6. Step 6: Final answer
    x = 2,514.79

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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.