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Finding the Fourth Proportional to 3,269.34, 4,896.83 and 3,013.28

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Solution

The fourth proportional to 3,269.34, 4,896.83 and 3,013.28 is: 4,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.34 : 4,896.83 = 3,013.28 : x
  2. Step 2: Convert to fraction form
    3,269.34/4,896.83 = 3,013.28/x
  3. Step 3: Cross multiply
    3,269.34x = 4,896.83 × 3,013.28
  4. Step 4: Simplify right side
    3,269.34x = 14,755,499.07
  5. Step 5: Solve for x
    x = 14,755,499.07/3,269.34
  6. Step 6: Final answer
    x = 4,513.30

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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.