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Finding the Fourth Proportional to 3,837.96, 5,296.22 and 2,159.34

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Solution

The fourth proportional to 3,837.96, 5,296.22 and 2,159.34 is: 2,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.96 : 5,296.22 = 2,159.34 : x
  2. Step 2: Convert to fraction form
    3,837.96/5,296.22 = 2,159.34/x
  3. Step 3: Cross multiply
    3,837.96x = 5,296.22 × 2,159.34
  4. Step 4: Simplify right side
    3,837.96x = 11,436,339.69
  5. Step 5: Solve for x
    x = 11,436,339.69/3,837.96
  6. Step 6: Final answer
    x = 2,979.80

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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.