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Finding the Fourth Proportional to 5,936, 8,191.68 and 3,452

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Solution

The fourth proportional to 5,936, 8,191.68 and 3,452 is: 4,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936 : 8,191.68 = 3,452 : x
  2. Step 2: Convert to fraction form
    5,936/8,191.68 = 3,452/x
  3. Step 3: Cross multiply
    5,936x = 8,191.68 × 3,452
  4. Step 4: Simplify right side
    5,936x = 28,277,679.36
  5. Step 5: Solve for x
    x = 28,277,679.36/5,936
  6. Step 6: Final answer
    x = 4,763.76

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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.