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Finding the Fourth Proportional to 5,467, 8,200.51 and 2,344.99

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Solution

The fourth proportional to 5,467, 8,200.51 and 2,344.99 is: 3,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467 : 8,200.51 = 2,344.99 : x
  2. Step 2: Convert to fraction form
    5,467/8,200.51 = 2,344.99/x
  3. Step 3: Cross multiply
    5,467x = 8,200.51 × 2,344.99
  4. Step 4: Simplify right side
    5,467x = 19,230,113.94
  5. Step 5: Solve for x
    x = 19,230,113.94/5,467
  6. Step 6: Final answer
    x = 3,517.49

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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.