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Finding the Fourth Proportional to 5,469.56, 8,199.45 and 2,006.00

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Solution

The fourth proportional to 5,469.56, 8,199.45 and 2,006.00 is: 3,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.56 : 8,199.45 = 2,006.00 : x
  2. Step 2: Convert to fraction form
    5,469.56/8,199.45 = 2,006.00/x
  3. Step 3: Cross multiply
    5,469.56x = 8,199.45 × 2,006.00
  4. Step 4: Simplify right side
    5,469.56x = 16,448,055.70
  5. Step 5: Solve for x
    x = 16,448,055.70/5,469.56
  6. Step 6: Final answer
    x = 3,007.20

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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.