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Finding the Fourth Proportional to 3,471.49, 5,207.29 and 1,622.09

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Solution

The fourth proportional to 3,471.49, 5,207.29 and 1,622.09 is: 2,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.49 : 5,207.29 = 1,622.09 : x
  2. Step 2: Convert to fraction form
    3,471.49/5,207.29 = 1,622.09/x
  3. Step 3: Cross multiply
    3,471.49x = 5,207.29 × 1,622.09
  4. Step 4: Simplify right side
    3,471.49x = 8,446,702.00
  5. Step 5: Solve for x
    x = 8,446,702.00/3,471.49
  6. Step 6: Final answer
    x = 2,433.16

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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.