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Finding the Fourth Proportional to 5,092.54, 7,027.41 and 2,823.76

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Solution

The fourth proportional to 5,092.54, 7,027.41 and 2,823.76 is: 3,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.54 : 7,027.41 = 2,823.76 : x
  2. Step 2: Convert to fraction form
    5,092.54/7,027.41 = 2,823.76/x
  3. Step 3: Cross multiply
    5,092.54x = 7,027.41 × 2,823.76
  4. Step 4: Simplify right side
    5,092.54x = 19,843,719.26
  5. Step 5: Solve for x
    x = 19,843,719.26/5,092.54
  6. Step 6: Final answer
    x = 3,896.63

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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.