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Finding the Fourth Proportional to 3,792.42, 5,682.56 and 2,694.87

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Solution

The fourth proportional to 3,792.42, 5,682.56 and 2,694.87 is: 4,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,682.56 = 2,694.87 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,682.56 = 2,694.87/x
  3. Step 3: Cross multiply
    3,792.42x = 5,682.56 × 2,694.87
  4. Step 4: Simplify right side
    3,792.42x = 15,313,746.99
  5. Step 5: Solve for x
    x = 15,313,746.99/3,792.42
  6. Step 6: Final answer
    x = 4,037.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.