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Finding the Fourth Proportional to 5,628.62, 7,767.24 and 3,238.49

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Solution

The fourth proportional to 5,628.62, 7,767.24 and 3,238.49 is: 4,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.62 : 7,767.24 = 3,238.49 : x
  2. Step 2: Convert to fraction form
    5,628.62/7,767.24 = 3,238.49/x
  3. Step 3: Cross multiply
    5,628.62x = 7,767.24 × 3,238.49
  4. Step 4: Simplify right side
    5,628.62x = 25,154,121.79
  5. Step 5: Solve for x
    x = 25,154,121.79/5,628.62
  6. Step 6: Final answer
    x = 4,468.97

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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.