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Finding the Fourth Proportional to 3,808.26, 5,709.79 and 2,029.59

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Solution

The fourth proportional to 3,808.26, 5,709.79 and 2,029.59 is: 3,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.26 : 5,709.79 = 2,029.59 : x
  2. Step 2: Convert to fraction form
    3,808.26/5,709.79 = 2,029.59/x
  3. Step 3: Cross multiply
    3,808.26x = 5,709.79 × 2,029.59
  4. Step 4: Simplify right side
    3,808.26x = 11,588,513.34
  5. Step 5: Solve for x
    x = 11,588,513.34/3,808.26
  6. Step 6: Final answer
    x = 3,042.99

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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.