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Finding the Fourth Proportional to 2,836.89, 3,906.72 and 2,435.31

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Solution

The fourth proportional to 2,836.89, 3,906.72 and 2,435.31 is: 3,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.89 : 3,906.72 = 2,435.31 : x
  2. Step 2: Convert to fraction form
    2,836.89/3,906.72 = 2,435.31/x
  3. Step 3: Cross multiply
    2,836.89x = 3,906.72 × 2,435.31
  4. Step 4: Simplify right side
    2,836.89x = 9,514,074.28
  5. Step 5: Solve for x
    x = 9,514,074.28/2,836.89
  6. Step 6: Final answer
    x = 3,353.70

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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.