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Finding the Fourth Proportional to 5,964.63, 8,230.86 and 3,311.87

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Solution

The fourth proportional to 5,964.63, 8,230.86 and 3,311.87 is: 4,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.63 : 8,230.86 = 3,311.87 : x
  2. Step 2: Convert to fraction form
    5,964.63/8,230.86 = 3,311.87/x
  3. Step 3: Cross multiply
    5,964.63x = 8,230.86 × 3,311.87
  4. Step 4: Simplify right side
    5,964.63x = 27,259,497.15
  5. Step 5: Solve for x
    x = 27,259,497.15/5,964.63
  6. Step 6: Final answer
    x = 4,570.19

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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.