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Finding the Fourth Proportional to 3,157.14, 4,735.44 and 965.97

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Solution

The fourth proportional to 3,157.14, 4,735.44 and 965.97 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.14 : 4,735.44 = 965.97 : x
  2. Step 2: Convert to fraction form
    3,157.14/4,735.44 = 965.97/x
  3. Step 3: Cross multiply
    3,157.14x = 4,735.44 × 965.97
  4. Step 4: Simplify right side
    3,157.14x = 4,574,292.98
  5. Step 5: Solve for x
    x = 4,574,292.98/3,157.14
  6. Step 6: Final answer
    x = 1,448.87

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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.