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Finding the Fourth Proportional to 5,492.08, 8,238.08 and 2,202.82

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Solution

The fourth proportional to 5,492.08, 8,238.08 and 2,202.82 is: 3,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.08 : 8,238.08 = 2,202.82 : x
  2. Step 2: Convert to fraction form
    5,492.08/8,238.08 = 2,202.82/x
  3. Step 3: Cross multiply
    5,492.08x = 8,238.08 × 2,202.82
  4. Step 4: Simplify right side
    5,492.08x = 18,147,007.39
  5. Step 5: Solve for x
    x = 18,147,007.39/5,492.08
  6. Step 6: Final answer
    x = 3,304.21

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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.