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Finding the Fourth Proportional to 3,894.93, 5,843.37 and 1,121.54

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Solution

The fourth proportional to 3,894.93, 5,843.37 and 1,121.54 is: 1,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.93 : 5,843.37 = 1,121.54 : x
  2. Step 2: Convert to fraction form
    3,894.93/5,843.37 = 1,121.54/x
  3. Step 3: Cross multiply
    3,894.93x = 5,843.37 × 1,121.54
  4. Step 4: Simplify right side
    3,894.93x = 6,553,573.19
  5. Step 5: Solve for x
    x = 6,553,573.19/3,894.93
  6. Step 6: Final answer
    x = 1,682.59

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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.