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Finding the Fourth Proportional to 3,867.65, 5,793.73 and 1,784.84

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Solution

The fourth proportional to 3,867.65, 5,793.73 and 1,784.84 is: 2,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.65 : 5,793.73 = 1,784.84 : x
  2. Step 2: Convert to fraction form
    3,867.65/5,793.73 = 1,784.84/x
  3. Step 3: Cross multiply
    3,867.65x = 5,793.73 × 1,784.84
  4. Step 4: Simplify right side
    3,867.65x = 10,340,847.62
  5. Step 5: Solve for x
    x = 10,340,847.62/3,867.65
  6. Step 6: Final answer
    x = 2,673.68

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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.