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Finding the Fourth Proportional to 5,745.98, 8,618.36 and 2,965.46

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Solution

The fourth proportional to 5,745.98, 8,618.36 and 2,965.46 is: 4,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.98 : 8,618.36 = 2,965.46 : x
  2. Step 2: Convert to fraction form
    5,745.98/8,618.36 = 2,965.46/x
  3. Step 3: Cross multiply
    5,745.98x = 8,618.36 × 2,965.46
  4. Step 4: Simplify right side
    5,745.98x = 25,557,401.85
  5. Step 5: Solve for x
    x = 25,557,401.85/5,745.98
  6. Step 6: Final answer
    x = 4,447.88

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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.