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Finding the Fourth Proportional to 3,158.62, 4,738.46 and 966.82

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Solution

The fourth proportional to 3,158.62, 4,738.46 and 966.82 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.62 : 4,738.46 = 966.82 : x
  2. Step 2: Convert to fraction form
    3,158.62/4,738.46 = 966.82/x
  3. Step 3: Cross multiply
    3,158.62x = 4,738.46 × 966.82
  4. Step 4: Simplify right side
    3,158.62x = 4,581,237.90
  5. Step 5: Solve for x
    x = 4,581,237.90/3,158.62
  6. Step 6: Final answer
    x = 1,450.39

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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.