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Finding the Fourth Proportional to 5,930.75, 8,185.16 and 3,446.75

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Solution

The fourth proportional to 5,930.75, 8,185.16 and 3,446.75 is: 4,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.75 : 8,185.16 = 3,446.75 : x
  2. Step 2: Convert to fraction form
    5,930.75/8,185.16 = 3,446.75/x
  3. Step 3: Cross multiply
    5,930.75x = 8,185.16 × 3,446.75
  4. Step 4: Simplify right side
    5,930.75x = 28,212,200.23
  5. Step 5: Solve for x
    x = 28,212,200.23/5,930.75
  6. Step 6: Final answer
    x = 4,756.94

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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.