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Finding the Fourth Proportional to 3,365.44, 4,644.80 and 2,021.14

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Solution

The fourth proportional to 3,365.44, 4,644.80 and 2,021.14 is: 2,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.44 : 4,644.80 = 2,021.14 : x
  2. Step 2: Convert to fraction form
    3,365.44/4,644.80 = 2,021.14/x
  3. Step 3: Cross multiply
    3,365.44x = 4,644.80 × 2,021.14
  4. Step 4: Simplify right side
    3,365.44x = 9,387,791.07
  5. Step 5: Solve for x
    x = 9,387,791.07/3,365.44
  6. Step 6: Final answer
    x = 2,789.47

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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.