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Finding the Fourth Proportional to 5,735.24, 7,914.68 and 3,744.60

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Solution

The fourth proportional to 5,735.24, 7,914.68 and 3,744.60 is: 5,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.24 : 7,914.68 = 3,744.60 : x
  2. Step 2: Convert to fraction form
    5,735.24/7,914.68 = 3,744.60/x
  3. Step 3: Cross multiply
    5,735.24x = 7,914.68 × 3,744.60
  4. Step 4: Simplify right side
    5,735.24x = 29,637,310.73
  5. Step 5: Solve for x
    x = 29,637,310.73/5,735.24
  6. Step 6: Final answer
    x = 5,167.58

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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.