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Finding the Fourth Proportional to 5,864.96, 8,093.84 and 3,212.51

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Solution

The fourth proportional to 5,864.96, 8,093.84 and 3,212.51 is: 4,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.96 : 8,093.84 = 3,212.51 : x
  2. Step 2: Convert to fraction form
    5,864.96/8,093.84 = 3,212.51/x
  3. Step 3: Cross multiply
    5,864.96x = 8,093.84 × 3,212.51
  4. Step 4: Simplify right side
    5,864.96x = 26,001,546.11
  5. Step 5: Solve for x
    x = 26,001,546.11/5,864.96
  6. Step 6: Final answer
    x = 4,433.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.