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Finding the Fourth Proportional to 5,945.95, 8,205.46 and 3,293.41

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Solution

The fourth proportional to 5,945.95, 8,205.46 and 3,293.41 is: 4,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.95 : 8,205.46 = 3,293.41 : x
  2. Step 2: Convert to fraction form
    5,945.95/8,205.46 = 3,293.41/x
  3. Step 3: Cross multiply
    5,945.95x = 8,205.46 × 3,293.41
  4. Step 4: Simplify right side
    5,945.95x = 27,023,949.18
  5. Step 5: Solve for x
    x = 27,023,949.18/5,945.95
  6. Step 6: Final answer
    x = 4,544.94

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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.