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Finding the Fourth Proportional to 5,745.63, 7,928.97 and 3,261.63

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Solution

The fourth proportional to 5,745.63, 7,928.97 and 3,261.63 is: 4,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.63 : 7,928.97 = 3,261.63 : x
  2. Step 2: Convert to fraction form
    5,745.63/7,928.97 = 3,261.63/x
  3. Step 3: Cross multiply
    5,745.63x = 7,928.97 × 3,261.63
  4. Step 4: Simplify right side
    5,745.63x = 25,861,350.11
  5. Step 5: Solve for x
    x = 25,861,350.11/5,745.63
  6. Step 6: Final answer
    x = 4,501.05

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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.