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Finding the Fourth Proportional to 5,844.33, 8,065.50 and 3,191.98

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Solution

The fourth proportional to 5,844.33, 8,065.50 and 3,191.98 is: 4,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.33 : 8,065.50 = 3,191.98 : x
  2. Step 2: Convert to fraction form
    5,844.33/8,065.50 = 3,191.98/x
  3. Step 3: Cross multiply
    5,844.33x = 8,065.50 × 3,191.98
  4. Step 4: Simplify right side
    5,844.33x = 25,744,914.69
  5. Step 5: Solve for x
    x = 25,744,914.69/5,844.33
  6. Step 6: Final answer
    x = 4,405.11

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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.