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Finding the Fourth Proportional to 4,174.33, 6,255.74 and 3,016.57

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Solution

The fourth proportional to 4,174.33, 6,255.74 and 3,016.57 is: 4,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.33 : 6,255.74 = 3,016.57 : x
  2. Step 2: Convert to fraction form
    4,174.33/6,255.74 = 3,016.57/x
  3. Step 3: Cross multiply
    4,174.33x = 6,255.74 × 3,016.57
  4. Step 4: Simplify right side
    4,174.33x = 18,870,862.53
  5. Step 5: Solve for x
    x = 18,870,862.53/4,174.33
  6. Step 6: Final answer
    x = 4,520.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.