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Finding the Fourth Proportional to 4,236.68, 5,846.42 and 2,348.14

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Solution

The fourth proportional to 4,236.68, 5,846.42 and 2,348.14 is: 3,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.68 : 5,846.42 = 2,348.14 : x
  2. Step 2: Convert to fraction form
    4,236.68/5,846.42 = 2,348.14/x
  3. Step 3: Cross multiply
    4,236.68x = 5,846.42 × 2,348.14
  4. Step 4: Simplify right side
    4,236.68x = 13,728,212.66
  5. Step 5: Solve for x
    x = 13,728,212.66/4,236.68
  6. Step 6: Final answer
    x = 3,240.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.