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Finding the Fourth Proportional to 3,186.68, 4,399.74 and 2,348.33

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Solution

The fourth proportional to 3,186.68, 4,399.74 and 2,348.33 is: 3,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.68 : 4,399.74 = 2,348.33 : x
  2. Step 2: Convert to fraction form
    3,186.68/4,399.74 = 2,348.33/x
  3. Step 3: Cross multiply
    3,186.68x = 4,399.74 × 2,348.33
  4. Step 4: Simplify right side
    3,186.68x = 10,332,052.43
  5. Step 5: Solve for x
    x = 10,332,052.43/3,186.68
  6. Step 6: Final answer
    x = 3,242.26

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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.