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Finding the Fourth Proportional to 3,584.98, 4,947.25 and 2,072.51

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Solution

The fourth proportional to 3,584.98, 4,947.25 and 2,072.51 is: 2,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.98 : 4,947.25 = 2,072.51 : x
  2. Step 2: Convert to fraction form
    3,584.98/4,947.25 = 2,072.51/x
  3. Step 3: Cross multiply
    3,584.98x = 4,947.25 × 2,072.51
  4. Step 4: Simplify right side
    3,584.98x = 10,253,202.37
  5. Step 5: Solve for x
    x = 10,253,202.37/3,584.98
  6. Step 6: Final answer
    x = 2,860.04

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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.