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Finding the Fourth Proportional to 5,952.29, 8,215.79 and 3,712.82

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Solution

The fourth proportional to 5,952.29, 8,215.79 and 3,712.82 is: 5,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.29 : 8,215.79 = 3,712.82 : x
  2. Step 2: Convert to fraction form
    5,952.29/8,215.79 = 3,712.82/x
  3. Step 3: Cross multiply
    5,952.29x = 8,215.79 × 3,712.82
  4. Step 4: Simplify right side
    5,952.29x = 30,503,749.43
  5. Step 5: Solve for x
    x = 30,503,749.43/5,952.29
  6. Step 6: Final answer
    x = 5,124.71

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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.