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Finding the Fourth Proportional to 3,704.67, 5,114.31 and 2,863.48

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Solution

The fourth proportional to 3,704.67, 5,114.31 and 2,863.48 is: 3,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.67 : 5,114.31 = 2,863.48 : x
  2. Step 2: Convert to fraction form
    3,704.67/5,114.31 = 2,863.48/x
  3. Step 3: Cross multiply
    3,704.67x = 5,114.31 × 2,863.48
  4. Step 4: Simplify right side
    3,704.67x = 14,644,684.51
  5. Step 5: Solve for x
    x = 14,644,684.51/3,704.67
  6. Step 6: Final answer
    x = 3,953.03

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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.