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Finding the Fourth Proportional to 3,704.50, 5,103.70 and 3,045.56

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Solution

The fourth proportional to 3,704.50, 5,103.70 and 3,045.56 is: 4,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.50 : 5,103.70 = 3,045.56 : x
  2. Step 2: Convert to fraction form
    3,704.50/5,103.70 = 3,045.56/x
  3. Step 3: Cross multiply
    3,704.50x = 5,103.70 × 3,045.56
  4. Step 4: Simplify right side
    3,704.50x = 15,543,624.57
  5. Step 5: Solve for x
    x = 15,543,624.57/3,704.50
  6. Step 6: Final answer
    x = 4,195.88

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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.