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Finding the Fourth Proportional to 3,223.62, 4,449.60 and 1,879.68

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Solution

The fourth proportional to 3,223.62, 4,449.60 and 1,879.68 is: 2,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.62 : 4,449.60 = 1,879.68 : x
  2. Step 2: Convert to fraction form
    3,223.62/4,449.60 = 1,879.68/x
  3. Step 3: Cross multiply
    3,223.62x = 4,449.60 × 1,879.68
  4. Step 4: Simplify right side
    3,223.62x = 8,363,824.13
  5. Step 5: Solve for x
    x = 8,363,824.13/3,223.62
  6. Step 6: Final answer
    x = 2,594.54

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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.