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Finding the Fourth Proportional to 3,781.53, 5,673.33 and 2,692.83

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Solution

The fourth proportional to 3,781.53, 5,673.33 and 2,692.83 is: 4,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.53 : 5,673.33 = 2,692.83 : x
  2. Step 2: Convert to fraction form
    3,781.53/5,673.33 = 2,692.83/x
  3. Step 3: Cross multiply
    3,781.53x = 5,673.33 × 2,692.83
  4. Step 4: Simplify right side
    3,781.53x = 15,277,313.22
  5. Step 5: Solve for x
    x = 15,277,313.22/3,781.53
  6. Step 6: Final answer
    x = 4,039.98

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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.