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Finding the Fourth Proportional to 3,801.97, 5,675.44 and 3,285.29

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Solution

The fourth proportional to 3,801.97, 5,675.44 and 3,285.29 is: 4,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.97 : 5,675.44 = 3,285.29 : x
  2. Step 2: Convert to fraction form
    3,801.97/5,675.44 = 3,285.29/x
  3. Step 3: Cross multiply
    3,801.97x = 5,675.44 × 3,285.29
  4. Step 4: Simplify right side
    3,801.97x = 18,645,466.28
  5. Step 5: Solve for x
    x = 18,645,466.28/3,801.97
  6. Step 6: Final answer
    x = 4,904.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.