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Finding the Fourth Proportional to 4,138.24, 5,712.24 and 2,741.44

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Solution

The fourth proportional to 4,138.24, 5,712.24 and 2,741.44 is: 3,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.24 : 5,712.24 = 2,741.44 : x
  2. Step 2: Convert to fraction form
    4,138.24/5,712.24 = 2,741.44/x
  3. Step 3: Cross multiply
    4,138.24x = 5,712.24 × 2,741.44
  4. Step 4: Simplify right side
    4,138.24x = 15,659,763.23
  5. Step 5: Solve for x
    x = 15,659,763.23/4,138.24
  6. Step 6: Final answer
    x = 3,784.16

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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.