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Finding the Fourth Proportional to 3,898.26, 5,379.36 and 2,219.74

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Solution

The fourth proportional to 3,898.26, 5,379.36 and 2,219.74 is: 3,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.26 : 5,379.36 = 2,219.74 : x
  2. Step 2: Convert to fraction form
    3,898.26/5,379.36 = 2,219.74/x
  3. Step 3: Cross multiply
    3,898.26x = 5,379.36 × 2,219.74
  4. Step 4: Simplify right side
    3,898.26x = 11,940,771.28
  5. Step 5: Solve for x
    x = 11,940,771.28/3,898.26
  6. Step 6: Final answer
    x = 3,063.10

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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.