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Finding the Fourth Proportional to 5,998.16, 8,997.25 and 2,102.57

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Solution

The fourth proportional to 5,998.16, 8,997.25 and 2,102.57 is: 3,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.16 : 8,997.25 = 2,102.57 : x
  2. Step 2: Convert to fraction form
    5,998.16/8,997.25 = 2,102.57/x
  3. Step 3: Cross multiply
    5,998.16x = 8,997.25 × 2,102.57
  4. Step 4: Simplify right side
    5,998.16x = 18,917,347.93
  5. Step 5: Solve for x
    x = 18,917,347.93/5,998.16
  6. Step 6: Final answer
    x = 3,153.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.