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Finding the Fourth Proportional to 4,000.20, 6,000.30 and 2,833.80

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Solution

The fourth proportional to 4,000.20, 6,000.30 and 2,833.80 is: 4,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.20 : 6,000.30 = 2,833.80 : x
  2. Step 2: Convert to fraction form
    4,000.20/6,000.30 = 2,833.80/x
  3. Step 3: Cross multiply
    4,000.20x = 6,000.30 × 2,833.80
  4. Step 4: Simplify right side
    4,000.20x = 17,003,650.14
  5. Step 5: Solve for x
    x = 17,003,650.14/4,000.20
  6. Step 6: Final answer
    x = 4,250.70

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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.