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Finding the Fourth Proportional to 5,992.81, 8,989.31 and 2,097.20

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Solution

The fourth proportional to 5,992.81, 8,989.31 and 2,097.20 is: 3,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.81 : 8,989.31 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    5,992.81/8,989.31 = 2,097.20/x
  3. Step 3: Cross multiply
    5,992.81x = 8,989.31 × 2,097.20
  4. Step 4: Simplify right side
    5,992.81x = 18,852,408.65
  5. Step 5: Solve for x
    x = 18,852,408.65/5,992.81
  6. Step 6: Final answer
    x = 3,145.84

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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.