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Finding the Fourth Proportional to 4,493.21, 6,739.81 and 1,894.73

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Solution

The fourth proportional to 4,493.21, 6,739.81 and 1,894.73 is: 2,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.21 : 6,739.81 = 1,894.73 : x
  2. Step 2: Convert to fraction form
    4,493.21/6,739.81 = 1,894.73/x
  3. Step 3: Cross multiply
    4,493.21x = 6,739.81 × 1,894.73
  4. Step 4: Simplify right side
    4,493.21x = 12,770,081.77
  5. Step 5: Solve for x
    x = 12,770,081.77/4,493.21
  6. Step 6: Final answer
    x = 2,842.09

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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.