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Finding the Fourth Proportional to 5,864.74, 8,093.14 and 3,212.09

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Solution

The fourth proportional to 5,864.74, 8,093.14 and 3,212.09 is: 4,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.74 : 8,093.14 = 3,212.09 : x
  2. Step 2: Convert to fraction form
    5,864.74/8,093.14 = 3,212.09/x
  3. Step 3: Cross multiply
    5,864.74x = 8,093.14 × 3,212.09
  4. Step 4: Simplify right side
    5,864.74x = 25,995,894.06
  5. Step 5: Solve for x
    x = 25,995,894.06/5,864.74
  6. Step 6: Final answer
    x = 4,432.57

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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.