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Finding the Fourth Proportional to 5,673.75, 8,509.49 and 2,161.34

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Solution

The fourth proportional to 5,673.75, 8,509.49 and 2,161.34 is: 3,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.75 : 8,509.49 = 2,161.34 : x
  2. Step 2: Convert to fraction form
    5,673.75/8,509.49 = 2,161.34/x
  3. Step 3: Cross multiply
    5,673.75x = 8,509.49 × 2,161.34
  4. Step 4: Simplify right side
    5,673.75x = 18,391,890.31
  5. Step 5: Solve for x
    x = 18,391,890.31/5,673.75
  6. Step 6: Final answer
    x = 3,241.58

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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.