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Finding the Fourth Proportional to 3,894.33, 5,838.42 and 2,249.04

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Solution

The fourth proportional to 3,894.33, 5,838.42 and 2,249.04 is: 3,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.33 : 5,838.42 = 2,249.04 : x
  2. Step 2: Convert to fraction form
    3,894.33/5,838.42 = 2,249.04/x
  3. Step 3: Cross multiply
    3,894.33x = 5,838.42 × 2,249.04
  4. Step 4: Simplify right side
    3,894.33x = 13,130,840.12
  5. Step 5: Solve for x
    x = 13,130,840.12/3,894.33
  6. Step 6: Final answer
    x = 3,371.78

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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.