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Finding the Fourth Proportional to 5,902.14, 8,092.17 and 5,796.84

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Solution

The fourth proportional to 5,902.14, 8,092.17 and 5,796.84 is: 7,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.14 : 8,092.17 = 5,796.84 : x
  2. Step 2: Convert to fraction form
    5,902.14/8,092.17 = 5,796.84/x
  3. Step 3: Cross multiply
    5,902.14x = 8,092.17 × 5,796.84
  4. Step 4: Simplify right side
    5,902.14x = 46,909,014.74
  5. Step 5: Solve for x
    x = 46,909,014.74/5,902.14
  6. Step 6: Final answer
    x = 7,947.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.