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Finding the Fourth Proportional to 3,620.33, 5,431.17 and 1,429.07

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Solution

The fourth proportional to 3,620.33, 5,431.17 and 1,429.07 is: 2,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.33 : 5,431.17 = 1,429.07 : x
  2. Step 2: Convert to fraction form
    3,620.33/5,431.17 = 1,429.07/x
  3. Step 3: Cross multiply
    3,620.33x = 5,431.17 × 1,429.07
  4. Step 4: Simplify right side
    3,620.33x = 7,761,514.97
  5. Step 5: Solve for x
    x = 7,761,514.97/3,620.33
  6. Step 6: Final answer
    x = 2,143.87

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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.