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Finding the Fourth Proportional to 4,157.76, 5,735.16 and 2,832.06

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Solution

The fourth proportional to 4,157.76, 5,735.16 and 2,832.06 is: 3,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.76 : 5,735.16 = 2,832.06 : x
  2. Step 2: Convert to fraction form
    4,157.76/5,735.16 = 2,832.06/x
  3. Step 3: Cross multiply
    4,157.76x = 5,735.16 × 2,832.06
  4. Step 4: Simplify right side
    4,157.76x = 16,242,317.23
  5. Step 5: Solve for x
    x = 16,242,317.23/4,157.76
  6. Step 6: Final answer
    x = 3,906.51

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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.