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Finding the Fourth Proportional to 3,966.26, 5,945.07 and 2,664.50

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Solution

The fourth proportional to 3,966.26, 5,945.07 and 2,664.50 is: 3,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.26 : 5,945.07 = 2,664.50 : x
  2. Step 2: Convert to fraction form
    3,966.26/5,945.07 = 2,664.50/x
  3. Step 3: Cross multiply
    3,966.26x = 5,945.07 × 2,664.50
  4. Step 4: Simplify right side
    3,966.26x = 15,840,639.02
  5. Step 5: Solve for x
    x = 15,840,639.02/3,966.26
  6. Step 6: Final answer
    x = 3,993.85

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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.