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Finding the Fourth Proportional to 3,471.90, 5,205.57 and 1,622.97

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Solution

The fourth proportional to 3,471.90, 5,205.57 and 1,622.97 is: 2,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.90 : 5,205.57 = 1,622.97 : x
  2. Step 2: Convert to fraction form
    3,471.90/5,205.57 = 1,622.97/x
  3. Step 3: Cross multiply
    3,471.90x = 5,205.57 × 1,622.97
  4. Step 4: Simplify right side
    3,471.90x = 8,448,477.86
  5. Step 5: Solve for x
    x = 8,448,477.86/3,471.90
  6. Step 6: Final answer
    x = 2,433.39

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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.