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Finding the Fourth Proportional to 4,340.96, 5,993.49 and 2,771.18

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Solution

The fourth proportional to 4,340.96, 5,993.49 and 2,771.18 is: 3,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.96 : 5,993.49 = 2,771.18 : x
  2. Step 2: Convert to fraction form
    4,340.96/5,993.49 = 2,771.18/x
  3. Step 3: Cross multiply
    4,340.96x = 5,993.49 × 2,771.18
  4. Step 4: Simplify right side
    4,340.96x = 16,609,009.65
  5. Step 5: Solve for x
    x = 16,609,009.65/4,340.96
  6. Step 6: Final answer
    x = 3,826.12

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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.