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Finding the Fourth Proportional to 5,635.97, 7,777.80 and 3,083.85

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Solution

The fourth proportional to 5,635.97, 7,777.80 and 3,083.85 is: 4,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.97 : 7,777.80 = 3,083.85 : x
  2. Step 2: Convert to fraction form
    5,635.97/7,777.80 = 3,083.85/x
  3. Step 3: Cross multiply
    5,635.97x = 7,777.80 × 3,083.85
  4. Step 4: Simplify right side
    5,635.97x = 23,985,568.53
  5. Step 5: Solve for x
    x = 23,985,568.53/5,635.97
  6. Step 6: Final answer
    x = 4,255.80

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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.