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Finding the Fourth Proportional to 5,864.81, 8,093.27 and 3,212.16

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Solution

The fourth proportional to 5,864.81, 8,093.27 and 3,212.16 is: 4,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.81 : 8,093.27 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    5,864.81/8,093.27 = 3,212.16/x
  3. Step 3: Cross multiply
    5,864.81x = 8,093.27 × 3,212.16
  4. Step 4: Simplify right side
    5,864.81x = 25,996,837.78
  5. Step 5: Solve for x
    x = 25,996,837.78/5,864.81
  6. Step 6: Final answer
    x = 4,432.69

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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.