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Finding the Fourth Proportional to 4,856.50, 6,704.49 and 3,271.48

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Solution

The fourth proportional to 4,856.50, 6,704.49 and 3,271.48 is: 4,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.50 : 6,704.49 = 3,271.48 : x
  2. Step 2: Convert to fraction form
    4,856.50/6,704.49 = 3,271.48/x
  3. Step 3: Cross multiply
    4,856.50x = 6,704.49 × 3,271.48
  4. Step 4: Simplify right side
    4,856.50x = 21,933,604.95
  5. Step 5: Solve for x
    x = 21,933,604.95/4,856.50
  6. Step 6: Final answer
    x = 4,516.34

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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.