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Finding the Fourth Proportional to 5,667.57, 7,821.27 and 3,309.24

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Solution

The fourth proportional to 5,667.57, 7,821.27 and 3,309.24 is: 4,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.57 : 7,821.27 = 3,309.24 : x
  2. Step 2: Convert to fraction form
    5,667.57/7,821.27 = 3,309.24/x
  3. Step 3: Cross multiply
    5,667.57x = 7,821.27 × 3,309.24
  4. Step 4: Simplify right side
    5,667.57x = 25,882,459.53
  5. Step 5: Solve for x
    x = 25,882,459.53/5,667.57
  6. Step 6: Final answer
    x = 4,566.76

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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.