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Finding the Fourth Proportional to 3,174.62, 4,376.78 and 2,605.38

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Solution

The fourth proportional to 3,174.62, 4,376.78 and 2,605.38 is: 3,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.62 : 4,376.78 = 2,605.38 : x
  2. Step 2: Convert to fraction form
    3,174.62/4,376.78 = 2,605.38/x
  3. Step 3: Cross multiply
    3,174.62x = 4,376.78 × 2,605.38
  4. Step 4: Simplify right side
    3,174.62x = 11,403,175.08
  5. Step 5: Solve for x
    x = 11,403,175.08/3,174.62
  6. Step 6: Final answer
    x = 3,591.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.