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Finding the Fourth Proportional to 5,969.35, 8,954.02 and 2,270.72

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Solution

The fourth proportional to 5,969.35, 8,954.02 and 2,270.72 is: 3,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.35 : 8,954.02 = 2,270.72 : x
  2. Step 2: Convert to fraction form
    5,969.35/8,954.02 = 2,270.72/x
  3. Step 3: Cross multiply
    5,969.35x = 8,954.02 × 2,270.72
  4. Step 4: Simplify right side
    5,969.35x = 20,332,072.29
  5. Step 5: Solve for x
    x = 20,332,072.29/5,969.35
  6. Step 6: Final answer
    x = 3,406.08

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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.