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Finding the Fourth Proportional to 3,832.34, 5,284.71 and 3,609.09

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Solution

The fourth proportional to 3,832.34, 5,284.71 and 3,609.09 is: 4,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.34 : 5,284.71 = 3,609.09 : x
  2. Step 2: Convert to fraction form
    3,832.34/5,284.71 = 3,609.09/x
  3. Step 3: Cross multiply
    3,832.34x = 5,284.71 × 3,609.09
  4. Step 4: Simplify right side
    3,832.34x = 19,072,994.01
  5. Step 5: Solve for x
    x = 19,072,994.01/3,832.34
  6. Step 6: Final answer
    x = 4,976.86

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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.