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Finding the Fourth Proportional to 3,563.82, 5,346 and 966.78

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Solution

The fourth proportional to 3,563.82, 5,346 and 966.78 is: 1,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.82 : 5,346 = 966.78 : x
  2. Step 2: Convert to fraction form
    3,563.82/5,346 = 966.78/x
  3. Step 3: Cross multiply
    3,563.82x = 5,346 × 966.78
  4. Step 4: Simplify right side
    3,563.82x = 5,168,405.88
  5. Step 5: Solve for x
    x = 5,168,405.88/3,563.82
  6. Step 6: Final answer
    x = 1,450.24

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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.