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Finding the Fourth Proportional to 3,789.45, 5,684.31 and 1,709.10

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Solution

The fourth proportional to 3,789.45, 5,684.31 and 1,709.10 is: 2,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.45 : 5,684.31 = 1,709.10 : x
  2. Step 2: Convert to fraction form
    3,789.45/5,684.31 = 1,709.10/x
  3. Step 3: Cross multiply
    3,789.45x = 5,684.31 × 1,709.10
  4. Step 4: Simplify right side
    3,789.45x = 9,715,054.22
  5. Step 5: Solve for x
    x = 9,715,054.22/3,789.45
  6. Step 6: Final answer
    x = 2,563.71

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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.