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Finding the Fourth Proportional to 3,574.23, 4,932.92 and 2,082.62

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Solution

The fourth proportional to 3,574.23, 4,932.92 and 2,082.62 is: 2,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.23 : 4,932.92 = 2,082.62 : x
  2. Step 2: Convert to fraction form
    3,574.23/4,932.92 = 2,082.62/x
  3. Step 3: Cross multiply
    3,574.23x = 4,932.92 × 2,082.62
  4. Step 4: Simplify right side
    3,574.23x = 10,273,373.19
  5. Step 5: Solve for x
    x = 10,273,373.19/3,574.23
  6. Step 6: Final answer
    x = 2,874.29

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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.