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Finding the Fourth Proportional to 3,422.09, 5,133.92 and 1,082.33

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Solution

The fourth proportional to 3,422.09, 5,133.92 and 1,082.33 is: 1,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.09 : 5,133.92 = 1,082.33 : x
  2. Step 2: Convert to fraction form
    3,422.09/5,133.92 = 1,082.33/x
  3. Step 3: Cross multiply
    3,422.09x = 5,133.92 × 1,082.33
  4. Step 4: Simplify right side
    3,422.09x = 5,556,572.67
  5. Step 5: Solve for x
    x = 5,556,572.67/3,422.09
  6. Step 6: Final answer
    x = 1,623.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.