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Finding the Fourth Proportional to 5,864.72, 8,093.16 and 3,212.10

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Solution

The fourth proportional to 5,864.72, 8,093.16 and 3,212.10 is: 4,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.72 : 8,093.16 = 3,212.10 : x
  2. Step 2: Convert to fraction form
    5,864.72/8,093.16 = 3,212.10/x
  3. Step 3: Cross multiply
    5,864.72x = 8,093.16 × 3,212.10
  4. Step 4: Simplify right side
    5,864.72x = 25,996,039.24
  5. Step 5: Solve for x
    x = 25,996,039.24/5,864.72
  6. Step 6: Final answer
    x = 4,432.62

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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.