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Finding the Fourth Proportional to 3,882.95, 5,825.01 and 1,286.49

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Solution

The fourth proportional to 3,882.95, 5,825.01 and 1,286.49 is: 1,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.95 : 5,825.01 = 1,286.49 : x
  2. Step 2: Convert to fraction form
    3,882.95/5,825.01 = 1,286.49/x
  3. Step 3: Cross multiply
    3,882.95x = 5,825.01 × 1,286.49
  4. Step 4: Simplify right side
    3,882.95x = 7,493,817.11
  5. Step 5: Solve for x
    x = 7,493,817.11/3,882.95
  6. Step 6: Final answer
    x = 1,929.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.