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Finding the Fourth Proportional to 4,236.69, 5,846.46 and 2,348.30

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Solution

The fourth proportional to 4,236.69, 5,846.46 and 2,348.30 is: 3,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.69 : 5,846.46 = 2,348.30 : x
  2. Step 2: Convert to fraction form
    4,236.69/5,846.46 = 2,348.30/x
  3. Step 3: Cross multiply
    4,236.69x = 5,846.46 × 2,348.30
  4. Step 4: Simplify right side
    4,236.69x = 13,729,242.02
  5. Step 5: Solve for x
    x = 13,729,242.02/4,236.69
  6. Step 6: Final answer
    x = 3,240.56

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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.