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Finding the Fourth Proportional to 5,378, 8,061.24 and 2,257.22

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Solution

The fourth proportional to 5,378, 8,061.24 and 2,257.22 is: 3,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 8,061.24 = 2,257.22 : x
  2. Step 2: Convert to fraction form
    5,378/8,061.24 = 2,257.22/x
  3. Step 3: Cross multiply
    5,378x = 8,061.24 × 2,257.22
  4. Step 4: Simplify right side
    5,378x = 18,195,992.15
  5. Step 5: Solve for x
    x = 18,195,992.15/5,378
  6. Step 6: Final answer
    x = 3,383.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.