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Finding the Fourth Proportional to 3,563.72, 5,344.86 and 966.04

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Solution

The fourth proportional to 3,563.72, 5,344.86 and 966.04 is: 1,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.72 : 5,344.86 = 966.04 : x
  2. Step 2: Convert to fraction form
    3,563.72/5,344.86 = 966.04/x
  3. Step 3: Cross multiply
    3,563.72x = 5,344.86 × 966.04
  4. Step 4: Simplify right side
    3,563.72x = 5,163,348.55
  5. Step 5: Solve for x
    x = 5,163,348.55/3,563.72
  6. Step 6: Final answer
    x = 1,448.86

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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.