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Finding the Fourth Proportional to 5,674.46, 8,500.62 and 3,201.80

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Solution

The fourth proportional to 5,674.46, 8,500.62 and 3,201.80 is: 4,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.46 : 8,500.62 = 3,201.80 : x
  2. Step 2: Convert to fraction form
    5,674.46/8,500.62 = 3,201.80/x
  3. Step 3: Cross multiply
    5,674.46x = 8,500.62 × 3,201.80
  4. Step 4: Simplify right side
    5,674.46x = 27,217,285.12
  5. Step 5: Solve for x
    x = 27,217,285.12/5,674.46
  6. Step 6: Final answer
    x = 4,796.45

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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.