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Finding the Fourth Proportional to 5,934, 8,189.64 and 3,450

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Solution

The fourth proportional to 5,934, 8,189.64 and 3,450 is: 4,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 8,189.64 = 3,450 : x
  2. Step 2: Convert to fraction form
    5,934/8,189.64 = 3,450/x
  3. Step 3: Cross multiply
    5,934x = 8,189.64 × 3,450
  4. Step 4: Simplify right side
    5,934x = 28,254,258
  5. Step 5: Solve for x
    x = 28,254,258/5,934
  6. Step 6: Final answer
    x = 4,761.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.