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Finding the Fourth Proportional to 5,441, 8,162.78 and 1,793

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Solution

The fourth proportional to 5,441, 8,162.78 and 1,793 is: 2,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 8,162.78 = 1,793 : x
  2. Step 2: Convert to fraction form
    5,441/8,162.78 = 1,793/x
  3. Step 3: Cross multiply
    5,441x = 8,162.78 × 1,793
  4. Step 4: Simplify right side
    5,441x = 14,635,864.54
  5. Step 5: Solve for x
    x = 14,635,864.54/5,441
  6. Step 6: Final answer
    x = 2,689.92

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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.