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Finding the Fourth Proportional to 5,204.36, 7,799.64 and 2,279

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Solution

The fourth proportional to 5,204.36, 7,799.64 and 2,279 is: 3,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.36 : 7,799.64 = 2,279 : x
  2. Step 2: Convert to fraction form
    5,204.36/7,799.64 = 2,279/x
  3. Step 3: Cross multiply
    5,204.36x = 7,799.64 × 2,279
  4. Step 4: Simplify right side
    5,204.36x = 17,775,379.56
  5. Step 5: Solve for x
    x = 17,775,379.56/5,204.36
  6. Step 6: Final answer
    x = 3,415.48

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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.