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Finding the Fourth Proportional to 3,882.79, 5,814.87 and 3,415.83

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Solution

The fourth proportional to 3,882.79, 5,814.87 and 3,415.83 is: 5,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.79 : 5,814.87 = 3,415.83 : x
  2. Step 2: Convert to fraction form
    3,882.79/5,814.87 = 3,415.83/x
  3. Step 3: Cross multiply
    3,882.79x = 5,814.87 × 3,415.83
  4. Step 4: Simplify right side
    3,882.79x = 19,862,578.32
  5. Step 5: Solve for x
    x = 19,862,578.32/3,882.79
  6. Step 6: Final answer
    x = 5,115.54

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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.