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Finding the Fourth Proportional to 5,469.12, 8,201.88 and 3,006.72

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Solution

The fourth proportional to 5,469.12, 8,201.88 and 3,006.72 is: 4,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.12 : 8,201.88 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    5,469.12/8,201.88 = 3,006.72/x
  3. Step 3: Cross multiply
    5,469.12x = 8,201.88 × 3,006.72
  4. Step 4: Simplify right side
    5,469.12x = 24,660,756.63
  5. Step 5: Solve for x
    x = 24,660,756.63/5,469.12
  6. Step 6: Final answer
    x = 4,509.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.