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Finding the Fourth Proportional to 5,859.76, 8,086.60 and 3,207.28

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Solution

The fourth proportional to 5,859.76, 8,086.60 and 3,207.28 is: 4,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.76 : 8,086.60 = 3,207.28 : x
  2. Step 2: Convert to fraction form
    5,859.76/8,086.60 = 3,207.28/x
  3. Step 3: Cross multiply
    5,859.76x = 8,086.60 × 3,207.28
  4. Step 4: Simplify right side
    5,859.76x = 25,935,990.45
  5. Step 5: Solve for x
    x = 25,935,990.45/5,859.76
  6. Step 6: Final answer
    x = 4,426.12

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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.