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Finding the Fourth Proportional to 3,450.96, 4,762.44 and 1,879.11

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Solution

The fourth proportional to 3,450.96, 4,762.44 and 1,879.11 is: 2,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.96 : 4,762.44 = 1,879.11 : x
  2. Step 2: Convert to fraction form
    3,450.96/4,762.44 = 1,879.11/x
  3. Step 3: Cross multiply
    3,450.96x = 4,762.44 × 1,879.11
  4. Step 4: Simplify right side
    3,450.96x = 8,949,148.63
  5. Step 5: Solve for x
    x = 8,949,148.63/3,450.96
  6. Step 6: Final answer
    x = 2,593.23

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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.