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Finding the Fourth Proportional to 3,832.12, 5,748.90 and 1,523.80

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Solution

The fourth proportional to 3,832.12, 5,748.90 and 1,523.80 is: 2,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.12 : 5,748.90 = 1,523.80 : x
  2. Step 2: Convert to fraction form
    3,832.12/5,748.90 = 1,523.80/x
  3. Step 3: Cross multiply
    3,832.12x = 5,748.90 × 1,523.80
  4. Step 4: Simplify right side
    3,832.12x = 8,760,173.82
  5. Step 5: Solve for x
    x = 8,760,173.82/3,832.12
  6. Step 6: Final answer
    x = 2,285.99

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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.