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Finding the Fourth Proportional to 4,553.28, 6,829.97 and 1,266.62

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Solution

The fourth proportional to 4,553.28, 6,829.97 and 1,266.62 is: 1,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.28 : 6,829.97 = 1,266.62 : x
  2. Step 2: Convert to fraction form
    4,553.28/6,829.97 = 1,266.62/x
  3. Step 3: Cross multiply
    4,553.28x = 6,829.97 × 1,266.62
  4. Step 4: Simplify right side
    4,553.28x = 8,650,936.12
  5. Step 5: Solve for x
    x = 8,650,936.12/4,553.28
  6. Step 6: Final answer
    x = 1,899.94

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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.