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Finding the Fourth Proportional to 3,404.25, 4,698.27 and 2,227.93

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Solution

The fourth proportional to 3,404.25, 4,698.27 and 2,227.93 is: 3,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.25 : 4,698.27 = 2,227.93 : x
  2. Step 2: Convert to fraction form
    3,404.25/4,698.27 = 2,227.93/x
  3. Step 3: Cross multiply
    3,404.25x = 4,698.27 × 2,227.93
  4. Step 4: Simplify right side
    3,404.25x = 10,467,404.94
  5. Step 5: Solve for x
    x = 10,467,404.94/3,404.25
  6. Step 6: Final answer
    x = 3,074.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.