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Finding the Fourth Proportional to 3,404.61, 5,105.23 and 1,999.36

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Solution

The fourth proportional to 3,404.61, 5,105.23 and 1,999.36 is: 2,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.61 : 5,105.23 = 1,999.36 : x
  2. Step 2: Convert to fraction form
    3,404.61/5,105.23 = 1,999.36/x
  3. Step 3: Cross multiply
    3,404.61x = 5,105.23 × 1,999.36
  4. Step 4: Simplify right side
    3,404.61x = 10,207,192.65
  5. Step 5: Solve for x
    x = 10,207,192.65/3,404.61
  6. Step 6: Final answer
    x = 2,998.05

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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.