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Finding the Fourth Proportional to 3,894.08, 5,844.22 and 2,046.27

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Solution

The fourth proportional to 3,894.08, 5,844.22 and 2,046.27 is: 3,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.08 : 5,844.22 = 2,046.27 : x
  2. Step 2: Convert to fraction form
    3,894.08/5,844.22 = 2,046.27/x
  3. Step 3: Cross multiply
    3,894.08x = 5,844.22 × 2,046.27
  4. Step 4: Simplify right side
    3,894.08x = 11,958,868.86
  5. Step 5: Solve for x
    x = 11,958,868.86/3,894.08
  6. Step 6: Final answer
    x = 3,071.04

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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.