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Finding the Fourth Proportional to 5,786.44, 7,989.25 and 3,693.40

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Solution

The fourth proportional to 5,786.44, 7,989.25 and 3,693.40 is: 5,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.44 : 7,989.25 = 3,693.40 : x
  2. Step 2: Convert to fraction form
    5,786.44/7,989.25 = 3,693.40/x
  3. Step 3: Cross multiply
    5,786.44x = 7,989.25 × 3,693.40
  4. Step 4: Simplify right side
    5,786.44x = 29,507,495.95
  5. Step 5: Solve for x
    x = 29,507,495.95/5,786.44
  6. Step 6: Final answer
    x = 5,099.42

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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.