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Finding the Fourth Proportional to 5,532.24, 7,629.48 and 3,666

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Solution

The fourth proportional to 5,532.24, 7,629.48 and 3,666 is: 5,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.24 : 7,629.48 = 3,666 : x
  2. Step 2: Convert to fraction form
    5,532.24/7,629.48 = 3,666/x
  3. Step 3: Cross multiply
    5,532.24x = 7,629.48 × 3,666
  4. Step 4: Simplify right side
    5,532.24x = 27,969,673.68
  5. Step 5: Solve for x
    x = 27,969,673.68/5,532.24
  6. Step 6: Final answer
    x = 5,055.76

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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.