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Finding the Fourth Proportional to 4,236.30, 5,842.29 and 2,742.66

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Solution

The fourth proportional to 4,236.30, 5,842.29 and 2,742.66 is: 3,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.30 : 5,842.29 = 2,742.66 : x
  2. Step 2: Convert to fraction form
    4,236.30/5,842.29 = 2,742.66/x
  3. Step 3: Cross multiply
    4,236.30x = 5,842.29 × 2,742.66
  4. Step 4: Simplify right side
    4,236.30x = 16,023,415.09
  5. Step 5: Solve for x
    x = 16,023,415.09/4,236.30
  6. Step 6: Final answer
    x = 3,782.41

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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.