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Finding the Fourth Proportional to 3,920.50, 5,410.09 and 2,151.77

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Solution

The fourth proportional to 3,920.50, 5,410.09 and 2,151.77 is: 2,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.50 : 5,410.09 = 2,151.77 : x
  2. Step 2: Convert to fraction form
    3,920.50/5,410.09 = 2,151.77/x
  3. Step 3: Cross multiply
    3,920.50x = 5,410.09 × 2,151.77
  4. Step 4: Simplify right side
    3,920.50x = 11,641,245.00
  5. Step 5: Solve for x
    x = 11,641,245.00/3,920.50
  6. Step 6: Final answer
    x = 2,969.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.