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Finding the Fourth Proportional to 5,732.34, 7,914.39 and 3,969.36

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Solution

The fourth proportional to 5,732.34, 7,914.39 and 3,969.36 is: 5,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.34 : 7,914.39 = 3,969.36 : x
  2. Step 2: Convert to fraction form
    5,732.34/7,914.39 = 3,969.36/x
  3. Step 3: Cross multiply
    5,732.34x = 7,914.39 × 3,969.36
  4. Step 4: Simplify right side
    5,732.34x = 31,415,063.09
  5. Step 5: Solve for x
    x = 31,415,063.09/5,732.34
  6. Step 6: Final answer
    x = 5,480.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.