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Finding the Fourth Proportional to 3,813.86, 5,716.29 and 1,622

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Solution

The fourth proportional to 3,813.86, 5,716.29 and 1,622 is: 2,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.86 : 5,716.29 = 1,622 : x
  2. Step 2: Convert to fraction form
    3,813.86/5,716.29 = 1,622/x
  3. Step 3: Cross multiply
    3,813.86x = 5,716.29 × 1,622
  4. Step 4: Simplify right side
    3,813.86x = 9,271,822.38
  5. Step 5: Solve for x
    x = 9,271,822.38/3,813.86
  6. Step 6: Final answer
    x = 2,431.09

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Why These Related Problems?

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