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Finding the Fourth Proportional to 3,969.54, 5,953.70 and 1,371.88

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Solution

The fourth proportional to 3,969.54, 5,953.70 and 1,371.88 is: 2,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.54 : 5,953.70 = 1,371.88 : x
  2. Step 2: Convert to fraction form
    3,969.54/5,953.70 = 1,371.88/x
  3. Step 3: Cross multiply
    3,969.54x = 5,953.70 × 1,371.88
  4. Step 4: Simplify right side
    3,969.54x = 8,167,761.96
  5. Step 5: Solve for x
    x = 8,167,761.96/3,969.54
  6. Step 6: Final answer
    x = 2,057.61

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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.