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Finding the Fourth Proportional to 5,524.69, 7,623.84 and 3,006.80

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Solution

The fourth proportional to 5,524.69, 7,623.84 and 3,006.80 is: 4,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.69 : 7,623.84 = 3,006.80 : x
  2. Step 2: Convert to fraction form
    5,524.69/7,623.84 = 3,006.80/x
  3. Step 3: Cross multiply
    5,524.69x = 7,623.84 × 3,006.80
  4. Step 4: Simplify right side
    5,524.69x = 22,923,389.83
  5. Step 5: Solve for x
    x = 22,923,389.83/5,524.69
  6. Step 6: Final answer
    x = 4,149.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.