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Finding the Fourth Proportional to 5,527.82, 7,629.39 and 3,291

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Solution

The fourth proportional to 5,527.82, 7,629.39 and 3,291 is: 4,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.82 : 7,629.39 = 3,291 : x
  2. Step 2: Convert to fraction form
    5,527.82/7,629.39 = 3,291/x
  3. Step 3: Cross multiply
    5,527.82x = 7,629.39 × 3,291
  4. Step 4: Simplify right side
    5,527.82x = 25,108,322.49
  5. Step 5: Solve for x
    x = 25,108,322.49/5,527.82
  6. Step 6: Final answer
    x = 4,542.18

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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.