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Finding the Fourth Proportional to 5,082.37, 7,014.31 and 3,092.80

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Solution

The fourth proportional to 5,082.37, 7,014.31 and 3,092.80 is: 4,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.37 : 7,014.31 = 3,092.80 : x
  2. Step 2: Convert to fraction form
    5,082.37/7,014.31 = 3,092.80/x
  3. Step 3: Cross multiply
    5,082.37x = 7,014.31 × 3,092.80
  4. Step 4: Simplify right side
    5,082.37x = 21,693,857.97
  5. Step 5: Solve for x
    x = 21,693,857.97/5,082.37
  6. Step 6: Final answer
    x = 4,268.45

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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.