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Finding the Fourth Proportional to 3,564.42, 4,917.75 and 1,992.21

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Solution

The fourth proportional to 3,564.42, 4,917.75 and 1,992.21 is: 2,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.42 : 4,917.75 = 1,992.21 : x
  2. Step 2: Convert to fraction form
    3,564.42/4,917.75 = 1,992.21/x
  3. Step 3: Cross multiply
    3,564.42x = 4,917.75 × 1,992.21
  4. Step 4: Simplify right side
    3,564.42x = 9,797,190.73
  5. Step 5: Solve for x
    x = 9,797,190.73/3,564.42
  6. Step 6: Final answer
    x = 2,748.61

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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.