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Finding the Fourth Proportional to 4,219.06, 5,821.32 and 2,449.62

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Solution

The fourth proportional to 4,219.06, 5,821.32 and 2,449.62 is: 3,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.06 : 5,821.32 = 2,449.62 : x
  2. Step 2: Convert to fraction form
    4,219.06/5,821.32 = 2,449.62/x
  3. Step 3: Cross multiply
    4,219.06x = 5,821.32 × 2,449.62
  4. Step 4: Simplify right side
    4,219.06x = 14,260,021.90
  5. Step 5: Solve for x
    x = 14,260,021.90/4,219.06
  6. Step 6: Final answer
    x = 3,379.90

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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.