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Finding the Fourth Proportional to 3,790.30, 5,690.76 and 1,942.74

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Solution

The fourth proportional to 3,790.30, 5,690.76 and 1,942.74 is: 2,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.30 : 5,690.76 = 1,942.74 : x
  2. Step 2: Convert to fraction form
    3,790.30/5,690.76 = 1,942.74/x
  3. Step 3: Cross multiply
    3,790.30x = 5,690.76 × 1,942.74
  4. Step 4: Simplify right side
    3,790.30x = 11,055,638.63
  5. Step 5: Solve for x
    x = 11,055,638.63/3,790.30
  6. Step 6: Final answer
    x = 2,916.83

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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.