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Finding the Fourth Proportional to 5,938.12, 8,194.82 and 3,285.78

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Solution

The fourth proportional to 5,938.12, 8,194.82 and 3,285.78 is: 4,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.12 : 8,194.82 = 3,285.78 : x
  2. Step 2: Convert to fraction form
    5,938.12/8,194.82 = 3,285.78/x
  3. Step 3: Cross multiply
    5,938.12x = 8,194.82 × 3,285.78
  4. Step 4: Simplify right side
    5,938.12x = 26,926,375.66
  5. Step 5: Solve for x
    x = 26,926,375.66/5,938.12
  6. Step 6: Final answer
    x = 4,534.50

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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.