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Finding the Fourth Proportional to 3,503.88, 5,256.33 and 1,163.09

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Solution

The fourth proportional to 3,503.88, 5,256.33 and 1,163.09 is: 1,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.88 : 5,256.33 = 1,163.09 : x
  2. Step 2: Convert to fraction form
    3,503.88/5,256.33 = 1,163.09/x
  3. Step 3: Cross multiply
    3,503.88x = 5,256.33 × 1,163.09
  4. Step 4: Simplify right side
    3,503.88x = 6,113,584.86
  5. Step 5: Solve for x
    x = 6,113,584.86/3,503.88
  6. Step 6: Final answer
    x = 1,744.80

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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.