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Finding the Fourth Proportional to 5,469.71, 8,205.26 and 1,771.88

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Solution

The fourth proportional to 5,469.71, 8,205.26 and 1,771.88 is: 2,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.71 : 8,205.26 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    5,469.71/8,205.26 = 1,771.88/x
  3. Step 3: Cross multiply
    5,469.71x = 8,205.26 × 1,771.88
  4. Step 4: Simplify right side
    5,469.71x = 14,538,686.20
  5. Step 5: Solve for x
    x = 14,538,686.20/5,469.71
  6. Step 6: Final answer
    x = 2,658.04

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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.