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Finding the Fourth Proportional to 5,934.24, 8,189.52 and 3,449.76

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Solution

The fourth proportional to 5,934.24, 8,189.52 and 3,449.76 is: 4,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.24 : 8,189.52 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    5,934.24/8,189.52 = 3,449.76/x
  3. Step 3: Cross multiply
    5,934.24x = 8,189.52 × 3,449.76
  4. Step 4: Simplify right side
    5,934.24x = 28,251,878.52
  5. Step 5: Solve for x
    x = 28,251,878.52/5,934.24
  6. Step 6: Final answer
    x = 4,760.83

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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.