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Finding the Fourth Proportional to 4,003.40, 5,999.70 and 2,847.80

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Solution

The fourth proportional to 4,003.40, 5,999.70 and 2,847.80 is: 4,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.40 : 5,999.70 = 2,847.80 : x
  2. Step 2: Convert to fraction form
    4,003.40/5,999.70 = 2,847.80/x
  3. Step 3: Cross multiply
    4,003.40x = 5,999.70 × 2,847.80
  4. Step 4: Simplify right side
    4,003.40x = 17,085,945.66
  5. Step 5: Solve for x
    x = 17,085,945.66/4,003.40
  6. Step 6: Final answer
    x = 4,267.86

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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.