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Finding the Fourth Proportional to 5,769.71, 7,962.26 and 3,251.34

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Solution

The fourth proportional to 5,769.71, 7,962.26 and 3,251.34 is: 4,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.71 : 7,962.26 = 3,251.34 : x
  2. Step 2: Convert to fraction form
    5,769.71/7,962.26 = 3,251.34/x
  3. Step 3: Cross multiply
    5,769.71x = 7,962.26 × 3,251.34
  4. Step 4: Simplify right side
    5,769.71x = 25,887,998.17
  5. Step 5: Solve for x
    x = 25,887,998.17/5,769.71
  6. Step 6: Final answer
    x = 4,486.88

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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.