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Finding the Fourth Proportional to 3,316.38, 4,967.37 and 3,224.22

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Solution

The fourth proportional to 3,316.38, 4,967.37 and 3,224.22 is: 4,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.38 : 4,967.37 = 3,224.22 : x
  2. Step 2: Convert to fraction form
    3,316.38/4,967.37 = 3,224.22/x
  3. Step 3: Cross multiply
    3,316.38x = 4,967.37 × 3,224.22
  4. Step 4: Simplify right side
    3,316.38x = 16,015,893.70
  5. Step 5: Solve for x
    x = 16,015,893.70/3,316.38
  6. Step 6: Final answer
    x = 4,829.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.