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Finding the Fourth Proportional to 5,234.50, 7,841.28 and 3,153.40

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Solution

The fourth proportional to 5,234.50, 7,841.28 and 3,153.40 is: 4,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.50 : 7,841.28 = 3,153.40 : x
  2. Step 2: Convert to fraction form
    5,234.50/7,841.28 = 3,153.40/x
  3. Step 3: Cross multiply
    5,234.50x = 7,841.28 × 3,153.40
  4. Step 4: Simplify right side
    5,234.50x = 24,726,692.35
  5. Step 5: Solve for x
    x = 24,726,692.35/5,234.50
  6. Step 6: Final answer
    x = 4,723.79

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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.