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Finding the Fourth Proportional to 5,969.84, 8,954.78 and 2,271.22

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Solution

The fourth proportional to 5,969.84, 8,954.78 and 2,271.22 is: 3,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.84 : 8,954.78 = 2,271.22 : x
  2. Step 2: Convert to fraction form
    5,969.84/8,954.78 = 2,271.22/x
  3. Step 3: Cross multiply
    5,969.84x = 8,954.78 × 2,271.22
  4. Step 4: Simplify right side
    5,969.84x = 20,338,275.43
  5. Step 5: Solve for x
    x = 20,338,275.43/5,969.84
  6. Step 6: Final answer
    x = 3,406.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.