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Finding the Fourth Proportional to 5,969.69, 8,954.54 and 2,271.05

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Solution

The fourth proportional to 5,969.69, 8,954.54 and 2,271.05 is: 3,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.69 : 8,954.54 = 2,271.05 : x
  2. Step 2: Convert to fraction form
    5,969.69/8,954.54 = 2,271.05/x
  3. Step 3: Cross multiply
    5,969.69x = 8,954.54 × 2,271.05
  4. Step 4: Simplify right side
    5,969.69x = 20,336,151.94
  5. Step 5: Solve for x
    x = 20,336,151.94/5,969.69
  6. Step 6: Final answer
    x = 3,406.57

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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.