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Finding the Fourth Proportional to 3,675.60, 5,072.28 and 2,082.20

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Solution

The fourth proportional to 3,675.60, 5,072.28 and 2,082.20 is: 2,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.60 : 5,072.28 = 2,082.20 : x
  2. Step 2: Convert to fraction form
    3,675.60/5,072.28 = 2,082.20/x
  3. Step 3: Cross multiply
    3,675.60x = 5,072.28 × 2,082.20
  4. Step 4: Simplify right side
    3,675.60x = 10,561,476.05
  5. Step 5: Solve for x
    x = 10,561,476.05/3,675.60
  6. Step 6: Final answer
    x = 2,873.40

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Why These Related Problems?

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