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Finding the Fourth Proportional to 3,711.69, 5,122.59 and 2,296.05

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Solution

The fourth proportional to 3,711.69, 5,122.59 and 2,296.05 is: 3,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.69 : 5,122.59 = 2,296.05 : x
  2. Step 2: Convert to fraction form
    3,711.69/5,122.59 = 2,296.05/x
  3. Step 3: Cross multiply
    3,711.69x = 5,122.59 × 2,296.05
  4. Step 4: Simplify right side
    3,711.69x = 11,761,722.77
  5. Step 5: Solve for x
    x = 11,761,722.77/3,711.69
  6. Step 6: Final answer
    x = 3,168.83

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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.