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Finding the Fourth Proportional to 4,106.70, 5,660.69 and 3,220.97

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Solution

The fourth proportional to 4,106.70, 5,660.69 and 3,220.97 is: 4,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.70 : 5,660.69 = 3,220.97 : x
  2. Step 2: Convert to fraction form
    4,106.70/5,660.69 = 3,220.97/x
  3. Step 3: Cross multiply
    4,106.70x = 5,660.69 × 3,220.97
  4. Step 4: Simplify right side
    4,106.70x = 18,232,868.26
  5. Step 5: Solve for x
    x = 18,232,868.26/4,106.70
  6. Step 6: Final answer
    x = 4,439.79

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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.