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Finding the Fourth Proportional to 3,832.49, 5,749.55 and 1,199.92

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Solution

The fourth proportional to 3,832.49, 5,749.55 and 1,199.92 is: 1,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.49 : 5,749.55 = 1,199.92 : x
  2. Step 2: Convert to fraction form
    3,832.49/5,749.55 = 1,199.92/x
  3. Step 3: Cross multiply
    3,832.49x = 5,749.55 × 1,199.92
  4. Step 4: Simplify right side
    3,832.49x = 6,899,000.04
  5. Step 5: Solve for x
    x = 6,899,000.04/3,832.49
  6. Step 6: Final answer
    x = 1,800.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.