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Finding the Fourth Proportional to 5,965.21, 8,954.48 and 3,504.61

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Solution

The fourth proportional to 5,965.21, 8,954.48 and 3,504.61 is: 5,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.21 : 8,954.48 = 3,504.61 : x
  2. Step 2: Convert to fraction form
    5,965.21/8,954.48 = 3,504.61/x
  3. Step 3: Cross multiply
    5,965.21x = 8,954.48 × 3,504.61
  4. Step 4: Simplify right side
    5,965.21x = 31,381,960.15
  5. Step 5: Solve for x
    x = 31,381,960.15/5,965.21
  6. Step 6: Final answer
    x = 5,260.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.