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Finding the Fourth Proportional to 3,783.67, 5,221.53 and 2,082.17

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Solution

The fourth proportional to 3,783.67, 5,221.53 and 2,082.17 is: 2,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.67 : 5,221.53 = 2,082.17 : x
  2. Step 2: Convert to fraction form
    3,783.67/5,221.53 = 2,082.17/x
  3. Step 3: Cross multiply
    3,783.67x = 5,221.53 × 2,082.17
  4. Step 4: Simplify right side
    3,783.67x = 10,872,126.17
  5. Step 5: Solve for x
    x = 10,872,126.17/3,783.67
  6. Step 6: Final answer
    x = 2,873.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.