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Finding the Fourth Proportional to 5,942.07, 8,912.57 and 1,783

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Solution

The fourth proportional to 5,942.07, 8,912.57 and 1,783 is: 2,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.07 : 8,912.57 = 1,783 : x
  2. Step 2: Convert to fraction form
    5,942.07/8,912.57 = 1,783/x
  3. Step 3: Cross multiply
    5,942.07x = 8,912.57 × 1,783
  4. Step 4: Simplify right side
    5,942.07x = 15,891,112.31
  5. Step 5: Solve for x
    x = 15,891,112.31/5,942.07
  6. Step 6: Final answer
    x = 2,674.34

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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.