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Finding the Fourth Proportional to 3,283.97, 4,532.42 and 1,958.13

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Solution

The fourth proportional to 3,283.97, 4,532.42 and 1,958.13 is: 2,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.97 : 4,532.42 = 1,958.13 : x
  2. Step 2: Convert to fraction form
    3,283.97/4,532.42 = 1,958.13/x
  3. Step 3: Cross multiply
    3,283.97x = 4,532.42 × 1,958.13
  4. Step 4: Simplify right side
    3,283.97x = 8,875,072.47
  5. Step 5: Solve for x
    x = 8,875,072.47/3,283.97
  6. Step 6: Final answer
    x = 2,702.55

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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.