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Finding the Fourth Proportional to 4,096.70, 6,146.61 and 2,454.43

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Solution

The fourth proportional to 4,096.70, 6,146.61 and 2,454.43 is: 3,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.70 : 6,146.61 = 2,454.43 : x
  2. Step 2: Convert to fraction form
    4,096.70/6,146.61 = 2,454.43/x
  3. Step 3: Cross multiply
    4,096.70x = 6,146.61 × 2,454.43
  4. Step 4: Simplify right side
    4,096.70x = 15,086,380.98
  5. Step 5: Solve for x
    x = 15,086,380.98/4,096.70
  6. Step 6: Final answer
    x = 3,682.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.