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Finding the Fourth Proportional to 3,832.96, 5,749.58 and 1,493.14

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Solution

The fourth proportional to 3,832.96, 5,749.58 and 1,493.14 is: 2,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.96 : 5,749.58 = 1,493.14 : x
  2. Step 2: Convert to fraction form
    3,832.96/5,749.58 = 1,493.14/x
  3. Step 3: Cross multiply
    3,832.96x = 5,749.58 × 1,493.14
  4. Step 4: Simplify right side
    3,832.96x = 8,584,927.88
  5. Step 5: Solve for x
    x = 8,584,927.88/3,832.96
  6. Step 6: Final answer
    x = 2,239.76

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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.