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Finding the Fourth Proportional to 3,462.98, 5,185.24 and 3,020.11

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Solution

The fourth proportional to 3,462.98, 5,185.24 and 3,020.11 is: 4,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.98 : 5,185.24 = 3,020.11 : x
  2. Step 2: Convert to fraction form
    3,462.98/5,185.24 = 3,020.11/x
  3. Step 3: Cross multiply
    3,462.98x = 5,185.24 × 3,020.11
  4. Step 4: Simplify right side
    3,462.98x = 15,659,997.74
  5. Step 5: Solve for x
    x = 15,659,997.74/3,462.98
  6. Step 6: Final answer
    x = 4,522.12

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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.