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Finding the Fourth Proportional to 4,157.67, 5,739.22 and 2,832.10

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Solution

The fourth proportional to 4,157.67, 5,739.22 and 2,832.10 is: 3,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.67 : 5,739.22 = 2,832.10 : x
  2. Step 2: Convert to fraction form
    4,157.67/5,739.22 = 2,832.10/x
  3. Step 3: Cross multiply
    4,157.67x = 5,739.22 × 2,832.10
  4. Step 4: Simplify right side
    4,157.67x = 16,254,044.96
  5. Step 5: Solve for x
    x = 16,254,044.96/4,157.67
  6. Step 6: Final answer
    x = 3,909.41

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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.