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Finding the Fourth Proportional to 4,462.98, 6,704.72 and 3,149.75

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Solution

The fourth proportional to 4,462.98, 6,704.72 and 3,149.75 is: 4,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.98 : 6,704.72 = 3,149.75 : x
  2. Step 2: Convert to fraction form
    4,462.98/6,704.72 = 3,149.75/x
  3. Step 3: Cross multiply
    4,462.98x = 6,704.72 × 3,149.75
  4. Step 4: Simplify right side
    4,462.98x = 21,118,222.36
  5. Step 5: Solve for x
    x = 21,118,222.36/4,462.98
  6. Step 6: Final answer
    x = 4,731.86

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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.