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Finding the Fourth Proportional to 4,137.75, 5,720.90 and 3,954.15

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Solution

The fourth proportional to 4,137.75, 5,720.90 and 3,954.15 is: 5,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.75 : 5,720.90 = 3,954.15 : x
  2. Step 2: Convert to fraction form
    4,137.75/5,720.90 = 3,954.15/x
  3. Step 3: Cross multiply
    4,137.75x = 5,720.90 × 3,954.15
  4. Step 4: Simplify right side
    4,137.75x = 22,621,276.96
  5. Step 5: Solve for x
    x = 22,621,276.96/4,137.75
  6. Step 6: Final answer
    x = 5,467.05

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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.