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Finding the Fourth Proportional to 3,704.98, 5,114.73 and 2,863.78

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Solution

The fourth proportional to 3,704.98, 5,114.73 and 2,863.78 is: 3,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.98 : 5,114.73 = 2,863.78 : x
  2. Step 2: Convert to fraction form
    3,704.98/5,114.73 = 2,863.78/x
  3. Step 3: Cross multiply
    3,704.98x = 5,114.73 × 2,863.78
  4. Step 4: Simplify right side
    3,704.98x = 14,647,437.95
  5. Step 5: Solve for x
    x = 14,647,437.95/3,704.98
  6. Step 6: Final answer
    x = 3,953.45

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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.