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Finding the Fourth Proportional to 3,000.12, 4,138.68 and 2,005.71

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Solution

The fourth proportional to 3,000.12, 4,138.68 and 2,005.71 is: 2,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.12 : 4,138.68 = 2,005.71 : x
  2. Step 2: Convert to fraction form
    3,000.12/4,138.68 = 2,005.71/x
  3. Step 3: Cross multiply
    3,000.12x = 4,138.68 × 2,005.71
  4. Step 4: Simplify right side
    3,000.12x = 8,300,991.86
  5. Step 5: Solve for x
    x = 8,300,991.86/3,000.12
  6. Step 6: Final answer
    x = 2,766.89

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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.