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Finding the Fourth Proportional to 5,998.53, 8,276.31 and 3,874.15

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Solution

The fourth proportional to 5,998.53, 8,276.31 and 3,874.15 is: 5,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.53 : 8,276.31 = 3,874.15 : x
  2. Step 2: Convert to fraction form
    5,998.53/8,276.31 = 3,874.15/x
  3. Step 3: Cross multiply
    5,998.53x = 8,276.31 × 3,874.15
  4. Step 4: Simplify right side
    5,998.53x = 32,063,676.73
  5. Step 5: Solve for x
    x = 32,063,676.73/5,998.53
  6. Step 6: Final answer
    x = 5,345.26

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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.