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Finding the Fourth Proportional to 5,019, 7,523.10 and 2,241.86

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Solution

The fourth proportional to 5,019, 7,523.10 and 2,241.86 is: 3,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019 : 7,523.10 = 2,241.86 : x
  2. Step 2: Convert to fraction form
    5,019/7,523.10 = 2,241.86/x
  3. Step 3: Cross multiply
    5,019x = 7,523.10 × 2,241.86
  4. Step 4: Simplify right side
    5,019x = 16,865,736.97
  5. Step 5: Solve for x
    x = 16,865,736.97/5,019
  6. Step 6: Final answer
    x = 3,360.38

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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.