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Finding the Fourth Proportional to 3,947.76, 5,448.05 and 2,269.21

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Solution

The fourth proportional to 3,947.76, 5,448.05 and 2,269.21 is: 3,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.76 : 5,448.05 = 2,269.21 : x
  2. Step 2: Convert to fraction form
    3,947.76/5,448.05 = 2,269.21/x
  3. Step 3: Cross multiply
    3,947.76x = 5,448.05 × 2,269.21
  4. Step 4: Simplify right side
    3,947.76x = 12,362,769.54
  5. Step 5: Solve for x
    x = 12,362,769.54/3,947.76
  6. Step 6: Final answer
    x = 3,131.59

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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.