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Finding the Fourth Proportional to 5,771.50, 7,964.66 and 3,254.22

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Solution

The fourth proportional to 5,771.50, 7,964.66 and 3,254.22 is: 4,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.50 : 7,964.66 = 3,254.22 : x
  2. Step 2: Convert to fraction form
    5,771.50/7,964.66 = 3,254.22/x
  3. Step 3: Cross multiply
    5,771.50x = 7,964.66 × 3,254.22
  4. Step 4: Simplify right side
    5,771.50x = 25,918,764.00
  5. Step 5: Solve for x
    x = 25,918,764.00/5,771.50
  6. Step 6: Final answer
    x = 4,490.82

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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.