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Finding the Fourth Proportional to 3,947.99, 5,447.00 and 2,268.78

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Solution

The fourth proportional to 3,947.99, 5,447.00 and 2,268.78 is: 3,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.99 : 5,447.00 = 2,268.78 : x
  2. Step 2: Convert to fraction form
    3,947.99/5,447.00 = 2,268.78/x
  3. Step 3: Cross multiply
    3,947.99x = 5,447.00 × 2,268.78
  4. Step 4: Simplify right side
    3,947.99x = 12,358,063.10
  5. Step 5: Solve for x
    x = 12,358,063.10/3,947.99
  6. Step 6: Final answer
    x = 3,130.22

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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.