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Finding the Fourth Proportional to 3,400.72, 5,099.49 and 1,321.69

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Solution

The fourth proportional to 3,400.72, 5,099.49 and 1,321.69 is: 1,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.72 : 5,099.49 = 1,321.69 : x
  2. Step 2: Convert to fraction form
    3,400.72/5,099.49 = 1,321.69/x
  3. Step 3: Cross multiply
    3,400.72x = 5,099.49 × 1,321.69
  4. Step 4: Simplify right side
    3,400.72x = 6,739,944.94
  5. Step 5: Solve for x
    x = 6,739,944.94/3,400.72
  6. Step 6: Final answer
    x = 1,981.92

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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.