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Finding the Fourth Proportional to 5,998.14, 9,001.22 and 2,102.54

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Solution

The fourth proportional to 5,998.14, 9,001.22 and 2,102.54 is: 3,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.14 : 9,001.22 = 2,102.54 : x
  2. Step 2: Convert to fraction form
    5,998.14/9,001.22 = 2,102.54/x
  3. Step 3: Cross multiply
    5,998.14x = 9,001.22 × 2,102.54
  4. Step 4: Simplify right side
    5,998.14x = 18,925,369.58
  5. Step 5: Solve for x
    x = 18,925,369.58/5,998.14
  6. Step 6: Final answer
    x = 3,155.21

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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.