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Finding the Fourth Proportional to 3,796.60, 5,239.35 and 2,181.76

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Solution

The fourth proportional to 3,796.60, 5,239.35 and 2,181.76 is: 3,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.60 : 5,239.35 = 2,181.76 : x
  2. Step 2: Convert to fraction form
    3,796.60/5,239.35 = 2,181.76/x
  3. Step 3: Cross multiply
    3,796.60x = 5,239.35 × 2,181.76
  4. Step 4: Simplify right side
    3,796.60x = 11,430,996.69
  5. Step 5: Solve for x
    x = 11,430,996.69/3,796.60
  6. Step 6: Final answer
    x = 3,010.85

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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.