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Finding the Fourth Proportional to 3,236.90, 4,856.09 and 1,157.02

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Solution

The fourth proportional to 3,236.90, 4,856.09 and 1,157.02 is: 1,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.90 : 4,856.09 = 1,157.02 : x
  2. Step 2: Convert to fraction form
    3,236.90/4,856.09 = 1,157.02/x
  3. Step 3: Cross multiply
    3,236.90x = 4,856.09 × 1,157.02
  4. Step 4: Simplify right side
    3,236.90x = 5,618,575.33
  5. Step 5: Solve for x
    x = 5,618,575.33/3,236.90
  6. Step 6: Final answer
    x = 1,735.79

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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.