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Finding the Fourth Proportional to 3,743.63, 5,165.01 and 2,251.88

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Solution

The fourth proportional to 3,743.63, 5,165.01 and 2,251.88 is: 3,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.63 : 5,165.01 = 2,251.88 : x
  2. Step 2: Convert to fraction form
    3,743.63/5,165.01 = 2,251.88/x
  3. Step 3: Cross multiply
    3,743.63x = 5,165.01 × 2,251.88
  4. Step 4: Simplify right side
    3,743.63x = 11,630,982.72
  5. Step 5: Solve for x
    x = 11,630,982.72/3,743.63
  6. Step 6: Final answer
    x = 3,106.87

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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.