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Finding the Fourth Proportional to 4,202.97, 5,801.69 and 3,304.37

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Solution

The fourth proportional to 4,202.97, 5,801.69 and 3,304.37 is: 4,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.97 : 5,801.69 = 3,304.37 : x
  2. Step 2: Convert to fraction form
    4,202.97/5,801.69 = 3,304.37/x
  3. Step 3: Cross multiply
    4,202.97x = 5,801.69 × 3,304.37
  4. Step 4: Simplify right side
    4,202.97x = 19,170,884.86
  5. Step 5: Solve for x
    x = 19,170,884.86/4,202.97
  6. Step 6: Final answer
    x = 4,561.27

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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.