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Finding the Fourth Proportional to 5,217.16, 7,825.74 and 2,137

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Solution

The fourth proportional to 5,217.16, 7,825.74 and 2,137 is: 3,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.16 : 7,825.74 = 2,137 : x
  2. Step 2: Convert to fraction form
    5,217.16/7,825.74 = 2,137/x
  3. Step 3: Cross multiply
    5,217.16x = 7,825.74 × 2,137
  4. Step 4: Simplify right side
    5,217.16x = 16,723,606.38
  5. Step 5: Solve for x
    x = 16,723,606.38/5,217.16
  6. Step 6: Final answer
    x = 3,205.50

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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.