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Finding the Fourth Proportional to 5,447.82, 7,517.97 and 3,209.68

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Solution

The fourth proportional to 5,447.82, 7,517.97 and 3,209.68 is: 4,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.82 : 7,517.97 = 3,209.68 : x
  2. Step 2: Convert to fraction form
    5,447.82/7,517.97 = 3,209.68/x
  3. Step 3: Cross multiply
    5,447.82x = 7,517.97 × 3,209.68
  4. Step 4: Simplify right side
    5,447.82x = 24,130,277.95
  5. Step 5: Solve for x
    x = 24,130,277.95/5,447.82
  6. Step 6: Final answer
    x = 4,429.35

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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.