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Finding the Fourth Proportional to 4,791.84, 7,182.90 and 2,020.23

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Solution

The fourth proportional to 4,791.84, 7,182.90 and 2,020.23 is: 3,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.84 : 7,182.90 = 2,020.23 : x
  2. Step 2: Convert to fraction form
    4,791.84/7,182.90 = 2,020.23/x
  3. Step 3: Cross multiply
    4,791.84x = 7,182.90 × 2,020.23
  4. Step 4: Simplify right side
    4,791.84x = 14,511,110.07
  5. Step 5: Solve for x
    x = 14,511,110.07/4,791.84
  6. Step 6: Final answer
    x = 3,028.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.