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Finding the Fourth Proportional to 5,674.44, 8,507.73 and 2,384.85

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Solution

The fourth proportional to 5,674.44, 8,507.73 and 2,384.85 is: 3,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.44 : 8,507.73 = 2,384.85 : x
  2. Step 2: Convert to fraction form
    5,674.44/8,507.73 = 2,384.85/x
  3. Step 3: Cross multiply
    5,674.44x = 8,507.73 × 2,384.85
  4. Step 4: Simplify right side
    5,674.44x = 20,289,659.89
  5. Step 5: Solve for x
    x = 20,289,659.89/5,674.44
  6. Step 6: Final answer
    x = 3,575.62

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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.