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Finding the Fourth Proportional to 3,783.53, 5,221.31 and 2,082.06

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Solution

The fourth proportional to 3,783.53, 5,221.31 and 2,082.06 is: 2,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.53 : 5,221.31 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    3,783.53/5,221.31 = 2,082.06/x
  3. Step 3: Cross multiply
    3,783.53x = 5,221.31 × 2,082.06
  4. Step 4: Simplify right side
    3,783.53x = 10,871,054.59
  5. Step 5: Solve for x
    x = 10,871,054.59/3,783.53
  6. Step 6: Final answer
    x = 2,873.26

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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.