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Finding the Fourth Proportional to 5,662.28, 7,813.22 and 3,566

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Solution

The fourth proportional to 5,662.28, 7,813.22 and 3,566 is: 4,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.28 : 7,813.22 = 3,566 : x
  2. Step 2: Convert to fraction form
    5,662.28/7,813.22 = 3,566/x
  3. Step 3: Cross multiply
    5,662.28x = 7,813.22 × 3,566
  4. Step 4: Simplify right side
    5,662.28x = 27,861,942.52
  5. Step 5: Solve for x
    x = 27,861,942.52/5,662.28
  6. Step 6: Final answer
    x = 4,920.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.