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Finding the Fourth Proportional to 3,704.68, 5,114.30 and 2,446.56

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Solution

The fourth proportional to 3,704.68, 5,114.30 and 2,446.56 is: 3,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.68 : 5,114.30 = 2,446.56 : x
  2. Step 2: Convert to fraction form
    3,704.68/5,114.30 = 2,446.56/x
  3. Step 3: Cross multiply
    3,704.68x = 5,114.30 × 2,446.56
  4. Step 4: Simplify right side
    3,704.68x = 12,512,441.81
  5. Step 5: Solve for x
    x = 12,512,441.81/3,704.68
  6. Step 6: Final answer
    x = 3,377.47

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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.