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Finding the Fourth Proportional to 5,447.97, 7,519.74 and 3,211.14

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Solution

The fourth proportional to 5,447.97, 7,519.74 and 3,211.14 is: 4,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.97 : 7,519.74 = 3,211.14 : x
  2. Step 2: Convert to fraction form
    5,447.97/7,519.74 = 3,211.14/x
  3. Step 3: Cross multiply
    5,447.97x = 7,519.74 × 3,211.14
  4. Step 4: Simplify right side
    5,447.97x = 24,146,937.90
  5. Step 5: Solve for x
    x = 24,146,937.90/5,447.97
  6. Step 6: Final answer
    x = 4,432.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.