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Finding the Fourth Proportional to 3,620.92, 5,431.68 and 1,156.09

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Solution

The fourth proportional to 3,620.92, 5,431.68 and 1,156.09 is: 1,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.92 : 5,431.68 = 1,156.09 : x
  2. Step 2: Convert to fraction form
    3,620.92/5,431.68 = 1,156.09/x
  3. Step 3: Cross multiply
    3,620.92x = 5,431.68 × 1,156.09
  4. Step 4: Simplify right side
    3,620.92x = 6,279,497.35
  5. Step 5: Solve for x
    x = 6,279,497.35/3,620.92
  6. Step 6: Final answer
    x = 1,734.23

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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.