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Finding the Fourth Proportional to 5,628.11, 7,767 and 3,270.14

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Solution

The fourth proportional to 5,628.11, 7,767 and 3,270.14 is: 4,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.11 : 7,767 = 3,270.14 : x
  2. Step 2: Convert to fraction form
    5,628.11/7,767 = 3,270.14/x
  3. Step 3: Cross multiply
    5,628.11x = 7,767 × 3,270.14
  4. Step 4: Simplify right side
    5,628.11x = 25,399,138.55
  5. Step 5: Solve for x
    x = 25,399,138.55/5,628.11
  6. Step 6: Final answer
    x = 4,512.91

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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.