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Finding the Fourth Proportional to 4,000.30, 5,997.78 and 1,920.22

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Solution

The fourth proportional to 4,000.30, 5,997.78 and 1,920.22 is: 2,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.30 : 5,997.78 = 1,920.22 : x
  2. Step 2: Convert to fraction form
    4,000.30/5,997.78 = 1,920.22/x
  3. Step 3: Cross multiply
    4,000.30x = 5,997.78 × 1,920.22
  4. Step 4: Simplify right side
    4,000.30x = 11,517,057.11
  5. Step 5: Solve for x
    x = 11,517,057.11/4,000.30
  6. Step 6: Final answer
    x = 2,879.05

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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.