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Finding the Fourth Proportional to 3,349.92, 4,623.42 and 3,202.26

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Solution

The fourth proportional to 3,349.92, 4,623.42 and 3,202.26 is: 4,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.92 : 4,623.42 = 3,202.26 : x
  2. Step 2: Convert to fraction form
    3,349.92/4,623.42 = 3,202.26/x
  3. Step 3: Cross multiply
    3,349.92x = 4,623.42 × 3,202.26
  4. Step 4: Simplify right side
    3,349.92x = 14,805,392.93
  5. Step 5: Solve for x
    x = 14,805,392.93/3,349.92
  6. Step 6: Final answer
    x = 4,419.63

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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.