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Finding the Fourth Proportional to 5,953.91, 8,932.14 and 1,793.95

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Solution

The fourth proportional to 5,953.91, 8,932.14 and 1,793.95 is: 2,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.91 : 8,932.14 = 1,793.95 : x
  2. Step 2: Convert to fraction form
    5,953.91/8,932.14 = 1,793.95/x
  3. Step 3: Cross multiply
    5,953.91x = 8,932.14 × 1,793.95
  4. Step 4: Simplify right side
    5,953.91x = 16,023,790.22
  5. Step 5: Solve for x
    x = 16,023,790.22/5,953.91
  6. Step 6: Final answer
    x = 2,691.31

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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.