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Finding the Fourth Proportional to 4,236.10, 5,846.50 and 4,049.22

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Solution

The fourth proportional to 4,236.10, 5,846.50 and 4,049.22 is: 5,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.10 : 5,846.50 = 4,049.22 : x
  2. Step 2: Convert to fraction form
    4,236.10/5,846.50 = 4,049.22/x
  3. Step 3: Cross multiply
    4,236.10x = 5,846.50 × 4,049.22
  4. Step 4: Simplify right side
    4,236.10x = 23,673,764.73
  5. Step 5: Solve for x
    x = 23,673,764.73/4,236.10
  6. Step 6: Final answer
    x = 5,588.58

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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.