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Finding the Fourth Proportional to 5,205.16, 7,789.20 and 4,171.80

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Solution

The fourth proportional to 5,205.16, 7,789.20 and 4,171.80 is: 6,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.16 : 7,789.20 = 4,171.80 : x
  2. Step 2: Convert to fraction form
    5,205.16/7,789.20 = 4,171.80/x
  3. Step 3: Cross multiply
    5,205.16x = 7,789.20 × 4,171.80
  4. Step 4: Simplify right side
    5,205.16x = 32,494,984.56
  5. Step 5: Solve for x
    x = 32,494,984.56/5,205.16
  6. Step 6: Final answer
    x = 6,242.84

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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.