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Finding the Fourth Proportional to 3,691.56, 5,094.36 and 2,512.63

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Solution

The fourth proportional to 3,691.56, 5,094.36 and 2,512.63 is: 3,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.56 : 5,094.36 = 2,512.63 : x
  2. Step 2: Convert to fraction form
    3,691.56/5,094.36 = 2,512.63/x
  3. Step 3: Cross multiply
    3,691.56x = 5,094.36 × 2,512.63
  4. Step 4: Simplify right side
    3,691.56x = 12,800,241.77
  5. Step 5: Solve for x
    x = 12,800,241.77/3,691.56
  6. Step 6: Final answer
    x = 3,467.43

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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.