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Finding the Fourth Proportional to 3,971.50, 5,957.28 and 2,738.58

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Solution

The fourth proportional to 3,971.50, 5,957.28 and 2,738.58 is: 4,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.50 : 5,957.28 = 2,738.58 : x
  2. Step 2: Convert to fraction form
    3,971.50/5,957.28 = 2,738.58/x
  3. Step 3: Cross multiply
    3,971.50x = 5,957.28 × 2,738.58
  4. Step 4: Simplify right side
    3,971.50x = 16,314,465.52
  5. Step 5: Solve for x
    x = 16,314,465.52/3,971.50
  6. Step 6: Final answer
    x = 4,107.89

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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.