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Finding the Fourth Proportional to 5,969.69, 8,958.41 and 2,271.95

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Solution

The fourth proportional to 5,969.69, 8,958.41 and 2,271.95 is: 3,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.69 : 8,958.41 = 2,271.95 : x
  2. Step 2: Convert to fraction form
    5,969.69/8,958.41 = 2,271.95/x
  3. Step 3: Cross multiply
    5,969.69x = 8,958.41 × 2,271.95
  4. Step 4: Simplify right side
    5,969.69x = 20,353,020.49
  5. Step 5: Solve for x
    x = 20,353,020.49/5,969.69
  6. Step 6: Final answer
    x = 3,409.40

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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.