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Finding the Fourth Proportional to 5,122.66, 7,682.47 and 2,200.28

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Solution

The fourth proportional to 5,122.66, 7,682.47 and 2,200.28 is: 3,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.66 : 7,682.47 = 2,200.28 : x
  2. Step 2: Convert to fraction form
    5,122.66/7,682.47 = 2,200.28/x
  3. Step 3: Cross multiply
    5,122.66x = 7,682.47 × 2,200.28
  4. Step 4: Simplify right side
    5,122.66x = 16,903,604.30
  5. Step 5: Solve for x
    x = 16,903,604.30/5,122.66
  6. Step 6: Final answer
    x = 3,299.77

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