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Finding the Fourth Proportional to 5,796.47, 7,996.52 and 3,907.44

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Solution

The fourth proportional to 5,796.47, 7,996.52 and 3,907.44 is: 5,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.47 : 7,996.52 = 3,907.44 : x
  2. Step 2: Convert to fraction form
    5,796.47/7,996.52 = 3,907.44/x
  3. Step 3: Cross multiply
    5,796.47x = 7,996.52 × 3,907.44
  4. Step 4: Simplify right side
    5,796.47x = 31,245,902.57
  5. Step 5: Solve for x
    x = 31,245,902.57/5,796.47
  6. Step 6: Final answer
    x = 5,390.51

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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.