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Finding the Fourth Proportional to 4,170.33, 5,759.70 and 3,237.41

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Solution

The fourth proportional to 4,170.33, 5,759.70 and 3,237.41 is: 4,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.33 : 5,759.70 = 3,237.41 : x
  2. Step 2: Convert to fraction form
    4,170.33/5,759.70 = 3,237.41/x
  3. Step 3: Cross multiply
    4,170.33x = 5,759.70 × 3,237.41
  4. Step 4: Simplify right side
    4,170.33x = 18,646,510.38
  5. Step 5: Solve for x
    x = 18,646,510.38/4,170.33
  6. Step 6: Final answer
    x = 4,471.23

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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.