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Finding the Fourth Proportional to 3,834.39, 5,292.54 and 2,262.99

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Solution

The fourth proportional to 3,834.39, 5,292.54 and 2,262.99 is: 3,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.39 : 5,292.54 = 2,262.99 : x
  2. Step 2: Convert to fraction form
    3,834.39/5,292.54 = 2,262.99/x
  3. Step 3: Cross multiply
    3,834.39x = 5,292.54 × 2,262.99
  4. Step 4: Simplify right side
    3,834.39x = 11,976,965.09
  5. Step 5: Solve for x
    x = 11,976,965.09/3,834.39
  6. Step 6: Final answer
    x = 3,123.56

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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.