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Finding the Fourth Proportional to 3,947.28, 5,447.58 and 2,950.80

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Solution

The fourth proportional to 3,947.28, 5,447.58 and 2,950.80 is: 4,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.28 : 5,447.58 = 2,950.80 : x
  2. Step 2: Convert to fraction form
    3,947.28/5,447.58 = 2,950.80/x
  3. Step 3: Cross multiply
    3,947.28x = 5,447.58 × 2,950.80
  4. Step 4: Simplify right side
    3,947.28x = 16,074,719.06
  5. Step 5: Solve for x
    x = 16,074,719.06/3,947.28
  6. Step 6: Final answer
    x = 4,072.35

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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.