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Finding the Fourth Proportional to 3,783.49, 5,221.19 and 2,082.10

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Solution

The fourth proportional to 3,783.49, 5,221.19 and 2,082.10 is: 2,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.49 : 5,221.19 = 2,082.10 : x
  2. Step 2: Convert to fraction form
    3,783.49/5,221.19 = 2,082.10/x
  3. Step 3: Cross multiply
    3,783.49x = 5,221.19 × 2,082.10
  4. Step 4: Simplify right side
    3,783.49x = 10,871,037.74
  5. Step 5: Solve for x
    x = 10,871,037.74/3,783.49
  6. Step 6: Final answer
    x = 2,873.28

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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.