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Finding the Fourth Proportional to 3,992.46, 6,002.13 and 3,267.30

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Solution

The fourth proportional to 3,992.46, 6,002.13 and 3,267.30 is: 4,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.46 : 6,002.13 = 3,267.30 : x
  2. Step 2: Convert to fraction form
    3,992.46/6,002.13 = 3,267.30/x
  3. Step 3: Cross multiply
    3,992.46x = 6,002.13 × 3,267.30
  4. Step 4: Simplify right side
    3,992.46x = 19,610,759.35
  5. Step 5: Solve for x
    x = 19,610,759.35/3,992.46
  6. Step 6: Final answer
    x = 4,911.95

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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.