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Finding the Fourth Proportional to 5,327.85, 7,352.43 and 2,969.97

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Solution

The fourth proportional to 5,327.85, 7,352.43 and 2,969.97 is: 4,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.85 : 7,352.43 = 2,969.97 : x
  2. Step 2: Convert to fraction form
    5,327.85/7,352.43 = 2,969.97/x
  3. Step 3: Cross multiply
    5,327.85x = 7,352.43 × 2,969.97
  4. Step 4: Simplify right side
    5,327.85x = 21,836,496.53
  5. Step 5: Solve for x
    x = 21,836,496.53/5,327.85
  6. Step 6: Final answer
    x = 4,098.56

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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.