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Finding the Fourth Proportional to 3,834.84, 5,290.83 and 2,262.63

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Solution

The fourth proportional to 3,834.84, 5,290.83 and 2,262.63 is: 3,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,290.83 = 2,262.63 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,290.83 = 2,262.63/x
  3. Step 3: Cross multiply
    3,834.84x = 5,290.83 × 2,262.63
  4. Step 4: Simplify right side
    3,834.84x = 11,971,190.68
  5. Step 5: Solve for x
    x = 11,971,190.68/3,834.84
  6. Step 6: Final answer
    x = 3,121.69

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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.