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Finding the Fourth Proportional to 5,838.44, 8,757.71 and 1,942.83

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Solution

The fourth proportional to 5,838.44, 8,757.71 and 1,942.83 is: 2,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.44 : 8,757.71 = 1,942.83 : x
  2. Step 2: Convert to fraction form
    5,838.44/8,757.71 = 1,942.83/x
  3. Step 3: Cross multiply
    5,838.44x = 8,757.71 × 1,942.83
  4. Step 4: Simplify right side
    5,838.44x = 17,014,732.01
  5. Step 5: Solve for x
    x = 17,014,732.01/5,838.44
  6. Step 6: Final answer
    x = 2,914.26

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1.5x scale

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.