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Finding the Fourth Proportional to 4,162.68, 5,749.22 and 2,834.08

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Solution

The fourth proportional to 4,162.68, 5,749.22 and 2,834.08 is: 3,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.68 : 5,749.22 = 2,834.08 : x
  2. Step 2: Convert to fraction form
    4,162.68/5,749.22 = 2,834.08/x
  3. Step 3: Cross multiply
    4,162.68x = 5,749.22 × 2,834.08
  4. Step 4: Simplify right side
    4,162.68x = 16,293,742.13
  5. Step 5: Solve for x
    x = 16,293,742.13/4,162.68
  6. Step 6: Final answer
    x = 3,914.24

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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.