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Finding the Fourth Proportional to 3,731.63, 5,149.50 and 2,052.94

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Solution

The fourth proportional to 3,731.63, 5,149.50 and 2,052.94 is: 2,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.63 : 5,149.50 = 2,052.94 : x
  2. Step 2: Convert to fraction form
    3,731.63/5,149.50 = 2,052.94/x
  3. Step 3: Cross multiply
    3,731.63x = 5,149.50 × 2,052.94
  4. Step 4: Simplify right side
    3,731.63x = 10,571,609.35
  5. Step 5: Solve for x
    x = 10,571,609.35/3,731.63
  6. Step 6: Final answer
    x = 2,832.97

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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.