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Finding the Fourth Proportional to 5,882.63, 8,119.85 and 3,786.75

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Solution

The fourth proportional to 5,882.63, 8,119.85 and 3,786.75 is: 5,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.63 : 8,119.85 = 3,786.75 : x
  2. Step 2: Convert to fraction form
    5,882.63/8,119.85 = 3,786.75/x
  3. Step 3: Cross multiply
    5,882.63x = 8,119.85 × 3,786.75
  4. Step 4: Simplify right side
    5,882.63x = 30,747,823.05
  5. Step 5: Solve for x
    x = 30,747,823.05/5,882.63
  6. Step 6: Final answer
    x = 5,226.89

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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.