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Finding the Fourth Proportional to 5,942.09, 8,914.28 and 1,782.09

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Solution

The fourth proportional to 5,942.09, 8,914.28 and 1,782.09 is: 2,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.09 : 8,914.28 = 1,782.09 : x
  2. Step 2: Convert to fraction form
    5,942.09/8,914.28 = 1,782.09/x
  3. Step 3: Cross multiply
    5,942.09x = 8,914.28 × 1,782.09
  4. Step 4: Simplify right side
    5,942.09x = 15,886,040.33
  5. Step 5: Solve for x
    x = 15,886,040.33/5,942.09
  6. Step 6: Final answer
    x = 2,673.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.