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Finding the Fourth Proportional to 3,174.57, 4,377.08 and 2,731.70

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Solution

The fourth proportional to 3,174.57, 4,377.08 and 2,731.70 is: 3,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.57 : 4,377.08 = 2,731.70 : x
  2. Step 2: Convert to fraction form
    3,174.57/4,377.08 = 2,731.70/x
  3. Step 3: Cross multiply
    3,174.57x = 4,377.08 × 2,731.70
  4. Step 4: Simplify right side
    3,174.57x = 11,956,855.69
  5. Step 5: Solve for x
    x = 11,956,855.69/3,174.57
  6. Step 6: Final answer
    x = 3,766.45

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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.