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Finding the Fourth Proportional to 3,486.44, 5,224.38 and 2,098.23

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Solution

The fourth proportional to 3,486.44, 5,224.38 and 2,098.23 is: 3,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.44 : 5,224.38 = 2,098.23 : x
  2. Step 2: Convert to fraction form
    3,486.44/5,224.38 = 2,098.23/x
  3. Step 3: Cross multiply
    3,486.44x = 5,224.38 × 2,098.23
  4. Step 4: Simplify right side
    3,486.44x = 10,961,950.85
  5. Step 5: Solve for x
    x = 10,961,950.85/3,486.44
  6. Step 6: Final answer
    x = 3,144.17

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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.