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Finding the Fourth Proportional to 5,968.53, 8,228.81 and 3,840.26

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Solution

The fourth proportional to 5,968.53, 8,228.81 and 3,840.26 is: 5,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.53 : 8,228.81 = 3,840.26 : x
  2. Step 2: Convert to fraction form
    5,968.53/8,228.81 = 3,840.26/x
  3. Step 3: Cross multiply
    5,968.53x = 8,228.81 × 3,840.26
  4. Step 4: Simplify right side
    5,968.53x = 31,600,738.35
  5. Step 5: Solve for x
    x = 31,600,738.35/5,968.53
  6. Step 6: Final answer
    x = 5,294.56

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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.