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Finding the Fourth Proportional to 5,990.30, 8,267.82 and 4,105.70

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Solution

The fourth proportional to 5,990.30, 8,267.82 and 4,105.70 is: 5,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.30 : 8,267.82 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    5,990.30/8,267.82 = 4,105.70/x
  3. Step 3: Cross multiply
    5,990.30x = 8,267.82 × 4,105.70
  4. Step 4: Simplify right side
    5,990.30x = 33,945,188.57
  5. Step 5: Solve for x
    x = 33,945,188.57/5,990.30
  6. Step 6: Final answer
    x = 5,666.69

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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.