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Finding the Fourth Proportional to 5,581.71, 8,366.90 and 2,463.41

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Solution

The fourth proportional to 5,581.71, 8,366.90 and 2,463.41 is: 3,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.71 : 8,366.90 = 2,463.41 : x
  2. Step 2: Convert to fraction form
    5,581.71/8,366.90 = 2,463.41/x
  3. Step 3: Cross multiply
    5,581.71x = 8,366.90 × 2,463.41
  4. Step 4: Simplify right side
    5,581.71x = 20,611,113.73
  5. Step 5: Solve for x
    x = 20,611,113.73/5,581.71
  6. Step 6: Final answer
    x = 3,692.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.