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Finding the Fourth Proportional to 4,960.95, 6,846.46 and 3,279.43

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Solution

The fourth proportional to 4,960.95, 6,846.46 and 3,279.43 is: 4,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.95 : 6,846.46 = 3,279.43 : x
  2. Step 2: Convert to fraction form
    4,960.95/6,846.46 = 3,279.43/x
  3. Step 3: Cross multiply
    4,960.95x = 6,846.46 × 3,279.43
  4. Step 4: Simplify right side
    4,960.95x = 22,452,486.68
  5. Step 5: Solve for x
    x = 22,452,486.68/4,960.95
  6. Step 6: Final answer
    x = 4,525.85

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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.