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Finding the Fourth Proportional to 5,864.92, 8,093.52 and 3,212.29

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Solution

The fourth proportional to 5,864.92, 8,093.52 and 3,212.29 is: 4,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.92 : 8,093.52 = 3,212.29 : x
  2. Step 2: Convert to fraction form
    5,864.92/8,093.52 = 3,212.29/x
  3. Step 3: Cross multiply
    5,864.92x = 8,093.52 × 3,212.29
  4. Step 4: Simplify right side
    5,864.92x = 25,998,733.36
  5. Step 5: Solve for x
    x = 25,998,733.36/5,864.92
  6. Step 6: Final answer
    x = 4,432.92

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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.