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Finding the Fourth Proportional to 5,865.08, 8,093.82 and 3,212.53

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Solution

The fourth proportional to 5,865.08, 8,093.82 and 3,212.53 is: 4,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.08 : 8,093.82 = 3,212.53 : x
  2. Step 2: Convert to fraction form
    5,865.08/8,093.82 = 3,212.53/x
  3. Step 3: Cross multiply
    5,865.08x = 8,093.82 × 3,212.53
  4. Step 4: Simplify right side
    5,865.08x = 26,001,631.38
  5. Step 5: Solve for x
    x = 26,001,631.38/5,865.08
  6. Step 6: Final answer
    x = 4,433.30

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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.