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Finding the Fourth Proportional to 3,965.36, 5,946 and 1,331.96

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Solution

The fourth proportional to 3,965.36, 5,946 and 1,331.96 is: 1,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.36 : 5,946 = 1,331.96 : x
  2. Step 2: Convert to fraction form
    3,965.36/5,946 = 1,331.96/x
  3. Step 3: Cross multiply
    3,965.36x = 5,946 × 1,331.96
  4. Step 4: Simplify right side
    3,965.36x = 7,919,834.16
  5. Step 5: Solve for x
    x = 7,919,834.16/3,965.36
  6. Step 6: Final answer
    x = 1,997.25

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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.