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Finding the Fourth Proportional to 4,176.44, 5,751.24 and 3,734.20

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Solution

The fourth proportional to 4,176.44, 5,751.24 and 3,734.20 is: 5,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.44 : 5,751.24 = 3,734.20 : x
  2. Step 2: Convert to fraction form
    4,176.44/5,751.24 = 3,734.20/x
  3. Step 3: Cross multiply
    4,176.44x = 5,751.24 × 3,734.20
  4. Step 4: Simplify right side
    4,176.44x = 21,476,280.41
  5. Step 5: Solve for x
    x = 21,476,280.41/4,176.44
  6. Step 6: Final answer
    x = 5,142.25

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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.