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Finding the Fourth Proportional to 5,234.36, 7,855.67 and 4,619.30

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Solution

The fourth proportional to 5,234.36, 7,855.67 and 4,619.30 is: 6,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.36 : 7,855.67 = 4,619.30 : x
  2. Step 2: Convert to fraction form
    5,234.36/7,855.67 = 4,619.30/x
  3. Step 3: Cross multiply
    5,234.36x = 7,855.67 × 4,619.30
  4. Step 4: Simplify right side
    5,234.36x = 36,287,692.97
  5. Step 5: Solve for x
    x = 36,287,692.97/5,234.36
  6. Step 6: Final answer
    x = 6,932.59

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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.