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Finding the Fourth Proportional to 3,995.74, 6,002.25 and 3,380.68

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Solution

The fourth proportional to 3,995.74, 6,002.25 and 3,380.68 is: 5,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.74 : 6,002.25 = 3,380.68 : x
  2. Step 2: Convert to fraction form
    3,995.74/6,002.25 = 3,380.68/x
  3. Step 3: Cross multiply
    3,995.74x = 6,002.25 × 3,380.68
  4. Step 4: Simplify right side
    3,995.74x = 20,291,686.53
  5. Step 5: Solve for x
    x = 20,291,686.53/3,995.74
  6. Step 6: Final answer
    x = 5,078.33

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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.