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Finding the Fourth Proportional to 5,629.70, 7,769.42 and 3,240.41

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Solution

The fourth proportional to 5,629.70, 7,769.42 and 3,240.41 is: 4,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.70 : 7,769.42 = 3,240.41 : x
  2. Step 2: Convert to fraction form
    5,629.70/7,769.42 = 3,240.41/x
  3. Step 3: Cross multiply
    5,629.70x = 7,769.42 × 3,240.41
  4. Step 4: Simplify right side
    5,629.70x = 25,176,063.36
  5. Step 5: Solve for x
    x = 25,176,063.36/5,629.70
  6. Step 6: Final answer
    x = 4,472.01

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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.