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Finding the Fourth Proportional to 5,202.84, 7,799.94 and 3,638.37

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Solution

The fourth proportional to 5,202.84, 7,799.94 and 3,638.37 is: 5,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.84 : 7,799.94 = 3,638.37 : x
  2. Step 2: Convert to fraction form
    5,202.84/7,799.94 = 3,638.37/x
  3. Step 3: Cross multiply
    5,202.84x = 7,799.94 × 3,638.37
  4. Step 4: Simplify right side
    5,202.84x = 28,379,067.70
  5. Step 5: Solve for x
    x = 28,379,067.70/5,202.84
  6. Step 6: Final answer
    x = 5,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.