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Finding the Fourth Proportional to 3,786.84, 5,226.66 and 2,389.32

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Solution

The fourth proportional to 3,786.84, 5,226.66 and 2,389.32 is: 3,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.84 : 5,226.66 = 2,389.32 : x
  2. Step 2: Convert to fraction form
    3,786.84/5,226.66 = 2,389.32/x
  3. Step 3: Cross multiply
    3,786.84x = 5,226.66 × 2,389.32
  4. Step 4: Simplify right side
    3,786.84x = 12,488,163.27
  5. Step 5: Solve for x
    x = 12,488,163.27/3,786.84
  6. Step 6: Final answer
    x = 3,297.78

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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.