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Finding the Fourth Proportional to 4,322.96, 5,965.82 and 2,834.79

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Solution

The fourth proportional to 4,322.96, 5,965.82 and 2,834.79 is: 3,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.96 : 5,965.82 = 2,834.79 : x
  2. Step 2: Convert to fraction form
    4,322.96/5,965.82 = 2,834.79/x
  3. Step 3: Cross multiply
    4,322.96x = 5,965.82 × 2,834.79
  4. Step 4: Simplify right side
    4,322.96x = 16,911,846.88
  5. Step 5: Solve for x
    x = 16,911,846.88/4,322.96
  6. Step 6: Final answer
    x = 3,912.10

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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.