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Finding the Fourth Proportional to 3,563.12, 5,344.54 and 966.24

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Solution

The fourth proportional to 3,563.12, 5,344.54 and 966.24 is: 1,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.12 : 5,344.54 = 966.24 : x
  2. Step 2: Convert to fraction form
    3,563.12/5,344.54 = 966.24/x
  3. Step 3: Cross multiply
    3,563.12x = 5,344.54 × 966.24
  4. Step 4: Simplify right side
    3,563.12x = 5,164,108.33
  5. Step 5: Solve for x
    x = 5,164,108.33/3,563.12
  6. Step 6: Final answer
    x = 1,449.32

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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.