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Finding the Fourth Proportional to 5,771.40, 7,965.24 and 3,253.62

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Solution

The fourth proportional to 5,771.40, 7,965.24 and 3,253.62 is: 4,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.40 : 7,965.24 = 3,253.62 : x
  2. Step 2: Convert to fraction form
    5,771.40/7,965.24 = 3,253.62/x
  3. Step 3: Cross multiply
    5,771.40x = 7,965.24 × 3,253.62
  4. Step 4: Simplify right side
    5,771.40x = 25,915,837.03
  5. Step 5: Solve for x
    x = 25,915,837.03/5,771.40
  6. Step 6: Final answer
    x = 4,490.39

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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.