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Finding the Fourth Proportional to 5,871.72, 8,103.80 and 3,634.31

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Solution

The fourth proportional to 5,871.72, 8,103.80 and 3,634.31 is: 5,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.72 : 8,103.80 = 3,634.31 : x
  2. Step 2: Convert to fraction form
    5,871.72/8,103.80 = 3,634.31/x
  3. Step 3: Cross multiply
    5,871.72x = 8,103.80 × 3,634.31
  4. Step 4: Simplify right side
    5,871.72x = 29,451,750.72
  5. Step 5: Solve for x
    x = 29,451,750.72/5,871.72
  6. Step 6: Final answer
    x = 5,015.86

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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.