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Finding the Fourth Proportional to 3,982.84, 5,485.19 and 3,896.78

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Solution

The fourth proportional to 3,982.84, 5,485.19 and 3,896.78 is: 5,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.84 : 5,485.19 = 3,896.78 : x
  2. Step 2: Convert to fraction form
    3,982.84/5,485.19 = 3,896.78/x
  3. Step 3: Cross multiply
    3,982.84x = 5,485.19 × 3,896.78
  4. Step 4: Simplify right side
    3,982.84x = 21,374,531.78
  5. Step 5: Solve for x
    x = 21,374,531.78/3,982.84
  6. Step 6: Final answer
    x = 5,366.66

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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.