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Finding the Fourth Proportional to 4,794.90, 7,182.77 and 3,809.38

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Solution

The fourth proportional to 4,794.90, 7,182.77 and 3,809.38 is: 5,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.90 : 7,182.77 = 3,809.38 : x
  2. Step 2: Convert to fraction form
    4,794.90/7,182.77 = 3,809.38/x
  3. Step 3: Cross multiply
    4,794.90x = 7,182.77 × 3,809.38
  4. Step 4: Simplify right side
    4,794.90x = 27,361,891.95
  5. Step 5: Solve for x
    x = 27,361,891.95/4,794.90
  6. Step 6: Final answer
    x = 5,706.46

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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.