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Finding the Fourth Proportional to 3,947.14, 5,923.77 and 1,484.20

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Solution

The fourth proportional to 3,947.14, 5,923.77 and 1,484.20 is: 2,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.14 : 5,923.77 = 1,484.20 : x
  2. Step 2: Convert to fraction form
    3,947.14/5,923.77 = 1,484.20/x
  3. Step 3: Cross multiply
    3,947.14x = 5,923.77 × 1,484.20
  4. Step 4: Simplify right side
    3,947.14x = 8,792,059.43
  5. Step 5: Solve for x
    x = 8,792,059.43/3,947.14
  6. Step 6: Final answer
    x = 2,227.45

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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.