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Finding the Fourth Proportional to 5,201.94, 7,793.83 and 4,330.05

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Solution

The fourth proportional to 5,201.94, 7,793.83 and 4,330.05 is: 6,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.94 : 7,793.83 = 4,330.05 : x
  2. Step 2: Convert to fraction form
    5,201.94/7,793.83 = 4,330.05/x
  3. Step 3: Cross multiply
    5,201.94x = 7,793.83 × 4,330.05
  4. Step 4: Simplify right side
    5,201.94x = 33,747,668.65
  5. Step 5: Solve for x
    x = 33,747,668.65/5,201.94
  6. Step 6: Final answer
    x = 6,487.51

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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.