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Finding the Fourth Proportional to 5,769.55, 8,648.45 and 2,647.41

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Solution

The fourth proportional to 5,769.55, 8,648.45 and 2,647.41 is: 3,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.55 : 8,648.45 = 2,647.41 : x
  2. Step 2: Convert to fraction form
    5,769.55/8,648.45 = 2,647.41/x
  3. Step 3: Cross multiply
    5,769.55x = 8,648.45 × 2,647.41
  4. Step 4: Simplify right side
    5,769.55x = 22,895,993.01
  5. Step 5: Solve for x
    x = 22,895,993.01/5,769.55
  6. Step 6: Final answer
    x = 3,968.42

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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.