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Finding the Fourth Proportional to 4,846.88, 6,691.92 and 3,274.40

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Solution

The fourth proportional to 4,846.88, 6,691.92 and 3,274.40 is: 4,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.88 : 6,691.92 = 3,274.40 : x
  2. Step 2: Convert to fraction form
    4,846.88/6,691.92 = 3,274.40/x
  3. Step 3: Cross multiply
    4,846.88x = 6,691.92 × 3,274.40
  4. Step 4: Simplify right side
    4,846.88x = 21,912,022.85
  5. Step 5: Solve for x
    x = 21,912,022.85/4,846.88
  6. Step 6: Final answer
    x = 4,520.85

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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.