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Finding the Fourth Proportional to 3,728.56, 5,143.64 and 2,467.84

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Solution

The fourth proportional to 3,728.56, 5,143.64 and 2,467.84 is: 3,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.56 : 5,143.64 = 2,467.84 : x
  2. Step 2: Convert to fraction form
    3,728.56/5,143.64 = 2,467.84/x
  3. Step 3: Cross multiply
    3,728.56x = 5,143.64 × 2,467.84
  4. Step 4: Simplify right side
    3,728.56x = 12,693,680.54
  5. Step 5: Solve for x
    x = 12,693,680.54/3,728.56
  6. Step 6: Final answer
    x = 3,404.45

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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.