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Finding the Fourth Proportional to 3,573.85, 4,932.40 and 2,082.23

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Solution

The fourth proportional to 3,573.85, 4,932.40 and 2,082.23 is: 2,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.85 : 4,932.40 = 2,082.23 : x
  2. Step 2: Convert to fraction form
    3,573.85/4,932.40 = 2,082.23/x
  3. Step 3: Cross multiply
    3,573.85x = 4,932.40 × 2,082.23
  4. Step 4: Simplify right side
    3,573.85x = 10,270,391.25
  5. Step 5: Solve for x
    x = 10,270,391.25/3,573.85
  6. Step 6: Final answer
    x = 2,873.76

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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.