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Finding the Fourth Proportional to 3,942.15, 5,913.15 and 1,863.15

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Solution

The fourth proportional to 3,942.15, 5,913.15 and 1,863.15 is: 2,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.15 : 5,913.15 = 1,863.15 : x
  2. Step 2: Convert to fraction form
    3,942.15/5,913.15 = 1,863.15/x
  3. Step 3: Cross multiply
    3,942.15x = 5,913.15 × 1,863.15
  4. Step 4: Simplify right side
    3,942.15x = 11,017,085.42
  5. Step 5: Solve for x
    x = 11,017,085.42/3,942.15
  6. Step 6: Final answer
    x = 2,794.69

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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.