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Finding the Fourth Proportional to 3,858.69, 5,791.68 and 2,105.45

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Solution

The fourth proportional to 3,858.69, 5,791.68 and 2,105.45 is: 3,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.69 : 5,791.68 = 2,105.45 : x
  2. Step 2: Convert to fraction form
    3,858.69/5,791.68 = 2,105.45/x
  3. Step 3: Cross multiply
    3,858.69x = 5,791.68 × 2,105.45
  4. Step 4: Simplify right side
    3,858.69x = 12,194,063.70
  5. Step 5: Solve for x
    x = 12,194,063.70/3,858.69
  6. Step 6: Final answer
    x = 3,160.16

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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.