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Finding the Fourth Proportional to 3,995.99, 6,002.63 and 3,380.93

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Solution

The fourth proportional to 3,995.99, 6,002.63 and 3,380.93 is: 5,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.99 : 6,002.63 = 3,380.93 : x
  2. Step 2: Convert to fraction form
    3,995.99/6,002.63 = 3,380.93/x
  3. Step 3: Cross multiply
    3,995.99x = 6,002.63 × 3,380.93
  4. Step 4: Simplify right side
    3,995.99x = 20,294,454.94
  5. Step 5: Solve for x
    x = 20,294,454.94/3,995.99
  6. Step 6: Final answer
    x = 5,078.71

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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.