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Finding the Fourth Proportional to 5,629.49, 7,769.66 and 3,273

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Solution

The fourth proportional to 5,629.49, 7,769.66 and 3,273 is: 4,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.49 : 7,769.66 = 3,273 : x
  2. Step 2: Convert to fraction form
    5,629.49/7,769.66 = 3,273/x
  3. Step 3: Cross multiply
    5,629.49x = 7,769.66 × 3,273
  4. Step 4: Simplify right side
    5,629.49x = 25,430,097.18
  5. Step 5: Solve for x
    x = 25,430,097.18/5,629.49
  6. Step 6: Final answer
    x = 4,517.30

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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.