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Finding the Fourth Proportional to 3,427.73, 4,730.36 and 2,082.88

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Solution

The fourth proportional to 3,427.73, 4,730.36 and 2,082.88 is: 2,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.73 : 4,730.36 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    3,427.73/4,730.36 = 2,082.88/x
  3. Step 3: Cross multiply
    3,427.73x = 4,730.36 × 2,082.88
  4. Step 4: Simplify right side
    3,427.73x = 9,852,772.24
  5. Step 5: Solve for x
    x = 9,852,772.24/3,427.73
  6. Step 6: Final answer
    x = 2,874.43

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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.