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Finding the Fourth Proportional to 3,574.05, 4,932.50 and 2,082.11

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Solution

The fourth proportional to 3,574.05, 4,932.50 and 2,082.11 is: 2,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.05 : 4,932.50 = 2,082.11 : x
  2. Step 2: Convert to fraction form
    3,574.05/4,932.50 = 2,082.11/x
  3. Step 3: Cross multiply
    3,574.05x = 4,932.50 × 2,082.11
  4. Step 4: Simplify right side
    3,574.05x = 10,270,007.58
  5. Step 5: Solve for x
    x = 10,270,007.58/3,574.05
  6. Step 6: Final answer
    x = 2,873.49

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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.