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Finding the Fourth Proportional to 4,282.92, 5,913.78 and 3,286.62

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Solution

The fourth proportional to 4,282.92, 5,913.78 and 3,286.62 is: 4,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.92 : 5,913.78 = 3,286.62 : x
  2. Step 2: Convert to fraction form
    4,282.92/5,913.78 = 3,286.62/x
  3. Step 3: Cross multiply
    4,282.92x = 5,913.78 × 3,286.62
  4. Step 4: Simplify right side
    4,282.92x = 19,436,347.62
  5. Step 5: Solve for x
    x = 19,436,347.62/4,282.92
  6. Step 6: Final answer
    x = 4,538.11

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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.