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Finding the Fourth Proportional to 3,976.04, 5,486.58 and 2,183.22

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Solution

The fourth proportional to 3,976.04, 5,486.58 and 2,183.22 is: 3,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.04 : 5,486.58 = 2,183.22 : x
  2. Step 2: Convert to fraction form
    3,976.04/5,486.58 = 2,183.22/x
  3. Step 3: Cross multiply
    3,976.04x = 5,486.58 × 2,183.22
  4. Step 4: Simplify right side
    3,976.04x = 11,978,411.19
  5. Step 5: Solve for x
    x = 11,978,411.19/3,976.04
  6. Step 6: Final answer
    x = 3,012.65

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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.