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Finding the Fourth Proportional to 3,843.96, 5,308.56 and 3,311.76

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Solution

The fourth proportional to 3,843.96, 5,308.56 and 3,311.76 is: 4,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.96 : 5,308.56 = 3,311.76 : x
  2. Step 2: Convert to fraction form
    3,843.96/5,308.56 = 3,311.76/x
  3. Step 3: Cross multiply
    3,843.96x = 5,308.56 × 3,311.76
  4. Step 4: Simplify right side
    3,843.96x = 17,580,676.67
  5. Step 5: Solve for x
    x = 17,580,676.67/3,843.96
  6. Step 6: Final answer
    x = 4,573.58

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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.