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Finding the Fourth Proportional to 4,096.26, 6,142.23 and 1,786.50

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Solution

The fourth proportional to 4,096.26, 6,142.23 and 1,786.50 is: 2,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.26 : 6,142.23 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    4,096.26/6,142.23 = 1,786.50/x
  3. Step 3: Cross multiply
    4,096.26x = 6,142.23 × 1,786.50
  4. Step 4: Simplify right side
    4,096.26x = 10,973,093.90
  5. Step 5: Solve for x
    x = 10,973,093.90/4,096.26
  6. Step 6: Final answer
    x = 2,678.81

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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.