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Finding the Fourth Proportional to 5,084.67, 7,625.64 and 1,797.33

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Solution

The fourth proportional to 5,084.67, 7,625.64 and 1,797.33 is: 2,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.67 : 7,625.64 = 1,797.33 : x
  2. Step 2: Convert to fraction form
    5,084.67/7,625.64 = 1,797.33/x
  3. Step 3: Cross multiply
    5,084.67x = 7,625.64 × 1,797.33
  4. Step 4: Simplify right side
    5,084.67x = 13,705,791.54
  5. Step 5: Solve for x
    x = 13,705,791.54/5,084.67
  6. Step 6: Final answer
    x = 2,695.51

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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.