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Finding the Fourth Proportional to 3,832.39, 5,749.04 and 1,367.56

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Solution

The fourth proportional to 3,832.39, 5,749.04 and 1,367.56 is: 2,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.39 : 5,749.04 = 1,367.56 : x
  2. Step 2: Convert to fraction form
    3,832.39/5,749.04 = 1,367.56/x
  3. Step 3: Cross multiply
    3,832.39x = 5,749.04 × 1,367.56
  4. Step 4: Simplify right side
    3,832.39x = 7,862,157.14
  5. Step 5: Solve for x
    x = 7,862,157.14/3,832.39
  6. Step 6: Final answer
    x = 2,051.50

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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.