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Finding the Fourth Proportional to 3,574.39, 4,932.51 and 2,082.30

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Solution

The fourth proportional to 3,574.39, 4,932.51 and 2,082.30 is: 2,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.39 : 4,932.51 = 2,082.30 : x
  2. Step 2: Convert to fraction form
    3,574.39/4,932.51 = 2,082.30/x
  3. Step 3: Cross multiply
    3,574.39x = 4,932.51 × 2,082.30
  4. Step 4: Simplify right side
    3,574.39x = 10,270,965.57
  5. Step 5: Solve for x
    x = 10,270,965.57/3,574.39
  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.