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Finding the Fourth Proportional to 3,664.52, 5,057 and 2,092.56

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Solution

The fourth proportional to 3,664.52, 5,057 and 2,092.56 is: 2,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.52 : 5,057 = 2,092.56 : x
  2. Step 2: Convert to fraction form
    3,664.52/5,057 = 2,092.56/x
  3. Step 3: Cross multiply
    3,664.52x = 5,057 × 2,092.56
  4. Step 4: Simplify right side
    3,664.52x = 10,582,075.92
  5. Step 5: Solve for x
    x = 10,582,075.92/3,664.52
  6. Step 6: Final answer
    x = 2,887.71

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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.