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Finding the Fourth Proportional to 5,769.24, 7,965.40 and 3,412.14

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Solution

The fourth proportional to 5,769.24, 7,965.40 and 3,412.14 is: 4,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.24 : 7,965.40 = 3,412.14 : x
  2. Step 2: Convert to fraction form
    5,769.24/7,965.40 = 3,412.14/x
  3. Step 3: Cross multiply
    5,769.24x = 7,965.40 × 3,412.14
  4. Step 4: Simplify right side
    5,769.24x = 27,179,059.96
  5. Step 5: Solve for x
    x = 27,179,059.96/5,769.24
  6. Step 6: Final answer
    x = 4,711.03

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