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Finding the Fourth Proportional to 5,859.72, 8,086.43 and 3,207.30

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Solution

The fourth proportional to 5,859.72, 8,086.43 and 3,207.30 is: 4,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.72 : 8,086.43 = 3,207.30 : x
  2. Step 2: Convert to fraction form
    5,859.72/8,086.43 = 3,207.30/x
  3. Step 3: Cross multiply
    5,859.72x = 8,086.43 × 3,207.30
  4. Step 4: Simplify right side
    5,859.72x = 25,935,590.90
  5. Step 5: Solve for x
    x = 25,935,590.90/5,859.72
  6. Step 6: Final answer
    x = 4,426.08

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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.