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Finding the Fourth Proportional to 4,118.75, 5,683.92 and 2,255.75

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Solution

The fourth proportional to 4,118.75, 5,683.92 and 2,255.75 is: 3,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.75 : 5,683.92 = 2,255.75 : x
  2. Step 2: Convert to fraction form
    4,118.75/5,683.92 = 2,255.75/x
  3. Step 3: Cross multiply
    4,118.75x = 5,683.92 × 2,255.75
  4. Step 4: Simplify right side
    4,118.75x = 12,821,502.54
  5. Step 5: Solve for x
    x = 12,821,502.54/4,118.75
  6. Step 6: Final answer
    x = 3,112.96

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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.