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Finding the Fourth Proportional to 4,286.84, 5,918.61 and 3,837.92

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Solution

The fourth proportional to 4,286.84, 5,918.61 and 3,837.92 is: 5,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.84 : 5,918.61 = 3,837.92 : x
  2. Step 2: Convert to fraction form
    4,286.84/5,918.61 = 3,837.92/x
  3. Step 3: Cross multiply
    4,286.84x = 5,918.61 × 3,837.92
  4. Step 4: Simplify right side
    4,286.84x = 22,715,151.69
  5. Step 5: Solve for x
    x = 22,715,151.69/4,286.84
  6. Step 6: Final answer
    x = 5,298.81

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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.