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Finding the Fourth Proportional to 5,769.90, 8,664.93 and 5,474.25

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Solution

The fourth proportional to 5,769.90, 8,664.93 and 5,474.25 is: 8,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.90 : 8,664.93 = 5,474.25 : x
  2. Step 2: Convert to fraction form
    5,769.90/8,664.93 = 5,474.25/x
  3. Step 3: Cross multiply
    5,769.90x = 8,664.93 × 5,474.25
  4. Step 4: Simplify right side
    5,769.90x = 47,433,993.05
  5. Step 5: Solve for x
    x = 47,433,993.05/5,769.90
  6. Step 6: Final answer
    x = 8,220.94

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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.