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Finding the Fourth Proportional to 3,966.37, 5,947.83 and 1,745.15

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Solution

The fourth proportional to 3,966.37, 5,947.83 and 1,745.15 is: 2,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.37 : 5,947.83 = 1,745.15 : x
  2. Step 2: Convert to fraction form
    3,966.37/5,947.83 = 1,745.15/x
  3. Step 3: Cross multiply
    3,966.37x = 5,947.83 × 1,745.15
  4. Step 4: Simplify right side
    3,966.37x = 10,379,825.79
  5. Step 5: Solve for x
    x = 10,379,825.79/3,966.37
  6. Step 6: Final answer
    x = 2,616.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.