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Finding the Fourth Proportional to 4,408.62, 6,613.23 and 1,288.70

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Solution

The fourth proportional to 4,408.62, 6,613.23 and 1,288.70 is: 1,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.62 : 6,613.23 = 1,288.70 : x
  2. Step 2: Convert to fraction form
    4,408.62/6,613.23 = 1,288.70/x
  3. Step 3: Cross multiply
    4,408.62x = 6,613.23 × 1,288.70
  4. Step 4: Simplify right side
    4,408.62x = 8,522,469.50
  5. Step 5: Solve for x
    x = 8,522,469.50/4,408.62
  6. Step 6: Final answer
    x = 1,933.14

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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.