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Finding the Fourth Proportional to 5,859.77, 8,086.46 and 3,207.20

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Solution

The fourth proportional to 5,859.77, 8,086.46 and 3,207.20 is: 4,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.77 : 8,086.46 = 3,207.20 : x
  2. Step 2: Convert to fraction form
    5,859.77/8,086.46 = 3,207.20/x
  3. Step 3: Cross multiply
    5,859.77x = 8,086.46 × 3,207.20
  4. Step 4: Simplify right side
    5,859.77x = 25,934,838.04
  5. Step 5: Solve for x
    x = 25,934,838.04/5,859.77
  6. Step 6: Final answer
    x = 4,425.92

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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.