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Finding the Fourth Proportional to 5,729.85, 7,896.49 and 4,468.92

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Solution

The fourth proportional to 5,729.85, 7,896.49 and 4,468.92 is: 6,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.85 : 7,896.49 = 4,468.92 : x
  2. Step 2: Convert to fraction form
    5,729.85/7,896.49 = 4,468.92/x
  3. Step 3: Cross multiply
    5,729.85x = 7,896.49 × 4,468.92
  4. Step 4: Simplify right side
    5,729.85x = 35,288,770.92
  5. Step 5: Solve for x
    x = 35,288,770.92/5,729.85
  6. Step 6: Final answer
    x = 6,158.76

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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.