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Finding the Fourth Proportional to 5,964.62, 8,207.07 and 5,811.98

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Solution

The fourth proportional to 5,964.62, 8,207.07 and 5,811.98 is: 7,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.62 : 8,207.07 = 5,811.98 : x
  2. Step 2: Convert to fraction form
    5,964.62/8,207.07 = 5,811.98/x
  3. Step 3: Cross multiply
    5,964.62x = 8,207.07 × 5,811.98
  4. Step 4: Simplify right side
    5,964.62x = 47,699,326.70
  5. Step 5: Solve for x
    x = 47,699,326.70/5,964.62
  6. Step 6: Final answer
    x = 7,997.04

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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.