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Finding the Fourth Proportional to 3,704.54, 5,112.96 and 2,213.24

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Solution

The fourth proportional to 3,704.54, 5,112.96 and 2,213.24 is: 3,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.54 : 5,112.96 = 2,213.24 : x
  2. Step 2: Convert to fraction form
    3,704.54/5,112.96 = 2,213.24/x
  3. Step 3: Cross multiply
    3,704.54x = 5,112.96 × 2,213.24
  4. Step 4: Simplify right side
    3,704.54x = 11,316,207.59
  5. Step 5: Solve for x
    x = 11,316,207.59/3,704.54
  6. Step 6: Final answer
    x = 3,054.69

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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.