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Finding the Fourth Proportional to 3,966, 5,949.04 and 1,625.40

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Solution

The fourth proportional to 3,966, 5,949.04 and 1,625.40 is: 2,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,949.04 = 1,625.40 : x
  2. Step 2: Convert to fraction form
    3,966/5,949.04 = 1,625.40/x
  3. Step 3: Cross multiply
    3,966x = 5,949.04 × 1,625.40
  4. Step 4: Simplify right side
    3,966x = 9,669,593.96
  5. Step 5: Solve for x
    x = 9,669,593.96/3,966
  6. Step 6: Final answer
    x = 2,438.12

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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.