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Finding the Fourth Proportional to 3,805.94, 5,711.36 and 1,857.08

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Solution

The fourth proportional to 3,805.94, 5,711.36 and 1,857.08 is: 2,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.94 : 5,711.36 = 1,857.08 : x
  2. Step 2: Convert to fraction form
    3,805.94/5,711.36 = 1,857.08/x
  3. Step 3: Cross multiply
    3,805.94x = 5,711.36 × 1,857.08
  4. Step 4: Simplify right side
    3,805.94x = 10,606,452.43
  5. Step 5: Solve for x
    x = 10,606,452.43/3,805.94
  6. Step 6: Final answer
    x = 2,786.82

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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.