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Finding the Fourth Proportional to 3,574.94, 4,933.69 and 2,082.31

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Solution

The fourth proportional to 3,574.94, 4,933.69 and 2,082.31 is: 2,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.94 : 4,933.69 = 2,082.31 : x
  2. Step 2: Convert to fraction form
    3,574.94/4,933.69 = 2,082.31/x
  3. Step 3: Cross multiply
    3,574.94x = 4,933.69 × 2,082.31
  4. Step 4: Simplify right side
    3,574.94x = 10,273,454.48
  5. Step 5: Solve for x
    x = 10,273,454.48/3,574.94
  6. Step 6: Final answer
    x = 2,873.75

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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.