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Finding the Fourth Proportional to 3,283.54, 4,531.23 and 1,791.43

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Solution

The fourth proportional to 3,283.54, 4,531.23 and 1,791.43 is: 2,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.54 : 4,531.23 = 1,791.43 : x
  2. Step 2: Convert to fraction form
    3,283.54/4,531.23 = 1,791.43/x
  3. Step 3: Cross multiply
    3,283.54x = 4,531.23 × 1,791.43
  4. Step 4: Simplify right side
    3,283.54x = 8,117,370.03
  5. Step 5: Solve for x
    x = 8,117,370.03/3,283.54
  6. Step 6: Final answer
    x = 2,472.14

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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.