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Finding the Fourth Proportional to 3,563.22, 5,344.81 and 966.15

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Solution

The fourth proportional to 3,563.22, 5,344.81 and 966.15 is: 1,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.22 : 5,344.81 = 966.15 : x
  2. Step 2: Convert to fraction form
    3,563.22/5,344.81 = 966.15/x
  3. Step 3: Cross multiply
    3,563.22x = 5,344.81 × 966.15
  4. Step 4: Simplify right side
    3,563.22x = 5,163,903.52
  5. Step 5: Solve for x
    x = 5,163,903.52/3,563.22
  6. Step 6: Final answer
    x = 1,449.23

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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.