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Finding the Fourth Proportional to 3,834.68, 5,290.86 and 2,262.20

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Solution

The fourth proportional to 3,834.68, 5,290.86 and 2,262.20 is: 3,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.68 : 5,290.86 = 2,262.20 : x
  2. Step 2: Convert to fraction form
    3,834.68/5,290.86 = 2,262.20/x
  3. Step 3: Cross multiply
    3,834.68x = 5,290.86 × 2,262.20
  4. Step 4: Simplify right side
    3,834.68x = 11,968,983.49
  5. Step 5: Solve for x
    x = 11,968,983.49/3,834.68
  6. Step 6: Final answer
    x = 3,121.25

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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.