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Finding the Fourth Proportional to 5,209.68, 7,183.22 and 4,211.86

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Solution

The fourth proportional to 5,209.68, 7,183.22 and 4,211.86 is: 5,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.68 : 7,183.22 = 4,211.86 : x
  2. Step 2: Convert to fraction form
    5,209.68/7,183.22 = 4,211.86/x
  3. Step 3: Cross multiply
    5,209.68x = 7,183.22 × 4,211.86
  4. Step 4: Simplify right side
    5,209.68x = 30,254,716.99
  5. Step 5: Solve for x
    x = 30,254,716.99/5,209.68
  6. Step 6: Final answer
    x = 5,807.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.