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Finding the Fourth Proportional to 7,892.80, 11,832.22 and 2,959

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Solution

The fourth proportional to 7,892.80, 11,832.22 and 2,959 is: 4,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.80 : 11,832.22 = 2,959 : x
  2. Step 2: Convert to fraction form
    7,892.80/11,832.22 = 2,959/x
  3. Step 3: Cross multiply
    7,892.80x = 11,832.22 × 2,959
  4. Step 4: Simplify right side
    7,892.80x = 35,011,538.98
  5. Step 5: Solve for x
    x = 35,011,538.98/7,892.80
  6. Step 6: Final answer
    x = 4,435.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.