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Finding the Fourth Proportional to 3,563.44, 5,345.08 and 966.39

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Solution

The fourth proportional to 3,563.44, 5,345.08 and 966.39 is: 1,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.44 : 5,345.08 = 966.39 : x
  2. Step 2: Convert to fraction form
    3,563.44/5,345.08 = 966.39/x
  3. Step 3: Cross multiply
    3,563.44x = 5,345.08 × 966.39
  4. Step 4: Simplify right side
    3,563.44x = 5,165,431.86
  5. Step 5: Solve for x
    x = 5,165,431.86/3,563.44
  6. Step 6: Final answer
    x = 1,449.56

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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.