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Finding the Fourth Proportional to 5,922.21, 8,173.00 and 3,404.43

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Solution

The fourth proportional to 5,922.21, 8,173.00 and 3,404.43 is: 4,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.21 : 8,173.00 = 3,404.43 : x
  2. Step 2: Convert to fraction form
    5,922.21/8,173.00 = 3,404.43/x
  3. Step 3: Cross multiply
    5,922.21x = 8,173.00 × 3,404.43
  4. Step 4: Simplify right side
    5,922.21x = 27,824,410.65
  5. Step 5: Solve for x
    x = 27,824,410.65/5,922.21
  6. Step 6: Final answer
    x = 4,698.31

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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.