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Finding the Fourth Proportional to 3,900.82, 5,385.09 and 3,014.62

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Solution

The fourth proportional to 3,900.82, 5,385.09 and 3,014.62 is: 4,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.82 : 5,385.09 = 3,014.62 : x
  2. Step 2: Convert to fraction form
    3,900.82/5,385.09 = 3,014.62/x
  3. Step 3: Cross multiply
    3,900.82x = 5,385.09 × 3,014.62
  4. Step 4: Simplify right side
    3,900.82x = 16,234,000.02
  5. Step 5: Solve for x
    x = 16,234,000.02/3,900.82
  6. Step 6: Final answer
    x = 4,161.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.