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Finding the Fourth Proportional to 3,843.82, 5,304.72 and 2,897.94

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Solution

The fourth proportional to 3,843.82, 5,304.72 and 2,897.94 is: 3,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.82 : 5,304.72 = 2,897.94 : x
  2. Step 2: Convert to fraction form
    3,843.82/5,304.72 = 2,897.94/x
  3. Step 3: Cross multiply
    3,843.82x = 5,304.72 × 2,897.94
  4. Step 4: Simplify right side
    3,843.82x = 15,372,791.04
  5. Step 5: Solve for x
    x = 15,372,791.04/3,843.82
  6. Step 6: Final answer
    x = 3,999.35

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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.