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Finding the Fourth Proportional to 3,757.73, 5,190.62 and 2,884.32

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Solution

The fourth proportional to 3,757.73, 5,190.62 and 2,884.32 is: 3,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.73 : 5,190.62 = 2,884.32 : x
  2. Step 2: Convert to fraction form
    3,757.73/5,190.62 = 2,884.32/x
  3. Step 3: Cross multiply
    3,757.73x = 5,190.62 × 2,884.32
  4. Step 4: Simplify right side
    3,757.73x = 14,971,394.66
  5. Step 5: Solve for x
    x = 14,971,394.66/3,757.73
  6. Step 6: Final answer
    x = 3,984.16

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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.