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Finding the Fourth Proportional to 3,942.60, 5,446.02 and 2,922.63

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Solution

The fourth proportional to 3,942.60, 5,446.02 and 2,922.63 is: 4,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.60 : 5,446.02 = 2,922.63 : x
  2. Step 2: Convert to fraction form
    3,942.60/5,446.02 = 2,922.63/x
  3. Step 3: Cross multiply
    3,942.60x = 5,446.02 × 2,922.63
  4. Step 4: Simplify right side
    3,942.60x = 15,916,701.43
  5. Step 5: Solve for x
    x = 15,916,701.43/3,942.60
  6. Step 6: Final answer
    x = 4,037.11

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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.