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Finding the Fourth Proportional to 5,205.40, 7,183.38 and 2,847.40

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Solution

The fourth proportional to 5,205.40, 7,183.38 and 2,847.40 is: 3,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.40 : 7,183.38 = 2,847.40 : x
  2. Step 2: Convert to fraction form
    5,205.40/7,183.38 = 2,847.40/x
  3. Step 3: Cross multiply
    5,205.40x = 7,183.38 × 2,847.40
  4. Step 4: Simplify right side
    5,205.40x = 20,453,956.21
  5. Step 5: Solve for x
    x = 20,453,956.21/5,205.40
  6. Step 6: Final answer
    x = 3,929.37

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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.