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Finding the Fourth Proportional to 4,814, 7,217.68 and 1,892.64

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Solution

The fourth proportional to 4,814, 7,217.68 and 1,892.64 is: 2,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 7,217.68 = 1,892.64 : x
  2. Step 2: Convert to fraction form
    4,814/7,217.68 = 1,892.64/x
  3. Step 3: Cross multiply
    4,814x = 7,217.68 × 1,892.64
  4. Step 4: Simplify right side
    4,814x = 13,660,469.88
  5. Step 5: Solve for x
    x = 13,660,469.88/4,814
  6. Step 6: Final answer
    x = 2,837.65

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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.