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Finding the Fourth Proportional to 5,141.46, 7,704.90 and 3,757.98

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Solution

The fourth proportional to 5,141.46, 7,704.90 and 3,757.98 is: 5,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.46 : 7,704.90 = 3,757.98 : x
  2. Step 2: Convert to fraction form
    5,141.46/7,704.90 = 3,757.98/x
  3. Step 3: Cross multiply
    5,141.46x = 7,704.90 × 3,757.98
  4. Step 4: Simplify right side
    5,141.46x = 28,954,860.10
  5. Step 5: Solve for x
    x = 28,954,860.10/5,141.46
  6. Step 6: Final answer
    x = 5,631.64

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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.