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Finding the Fourth Proportional to 3,409.14, 4,703.82 and 2,082.06

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Solution

The fourth proportional to 3,409.14, 4,703.82 and 2,082.06 is: 2,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.14 : 4,703.82 = 2,082.06 : x
  2. Step 2: Convert to fraction form
    3,409.14/4,703.82 = 2,082.06/x
  3. Step 3: Cross multiply
    3,409.14x = 4,703.82 × 2,082.06
  4. Step 4: Simplify right side
    3,409.14x = 9,793,635.47
  5. Step 5: Solve for x
    x = 9,793,635.47/3,409.14
  6. Step 6: Final answer
    x = 2,872.76

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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.