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Finding the Fourth Proportional to 3,968.52, 5,953.10 and 1,371.48

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Solution

The fourth proportional to 3,968.52, 5,953.10 and 1,371.48 is: 2,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.52 : 5,953.10 = 1,371.48 : x
  2. Step 2: Convert to fraction form
    3,968.52/5,953.10 = 1,371.48/x
  3. Step 3: Cross multiply
    3,968.52x = 5,953.10 × 1,371.48
  4. Step 4: Simplify right side
    3,968.52x = 8,164,557.59
  5. Step 5: Solve for x
    x = 8,164,557.59/3,968.52
  6. Step 6: Final answer
    x = 2,057.33

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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.