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Finding the Fourth Proportional to 5,933, 8,188.26 and 3,449

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Solution

The fourth proportional to 5,933, 8,188.26 and 3,449 is: 4,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933 : 8,188.26 = 3,449 : x
  2. Step 2: Convert to fraction form
    5,933/8,188.26 = 3,449/x
  3. Step 3: Cross multiply
    5,933x = 8,188.26 × 3,449
  4. Step 4: Simplify right side
    5,933x = 28,241,308.74
  5. Step 5: Solve for x
    x = 28,241,308.74/5,933
  6. Step 6: Final answer
    x = 4,760.04

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