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Finding the Fourth Proportional to 3,687.96, 5,096.34 and 2,908.20

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Solution

The fourth proportional to 3,687.96, 5,096.34 and 2,908.20 is: 4,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.96 : 5,096.34 = 2,908.20 : x
  2. Step 2: Convert to fraction form
    3,687.96/5,096.34 = 2,908.20/x
  3. Step 3: Cross multiply
    3,687.96x = 5,096.34 × 2,908.20
  4. Step 4: Simplify right side
    3,687.96x = 14,821,175.99
  5. Step 5: Solve for x
    x = 14,821,175.99/3,687.96
  6. Step 6: Final answer
    x = 4,018.80

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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.