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Finding the Fourth Proportional to 3,757.30, 5,180.65 and 3,010.66

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Solution

The fourth proportional to 3,757.30, 5,180.65 and 3,010.66 is: 4,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.30 : 5,180.65 = 3,010.66 : x
  2. Step 2: Convert to fraction form
    3,757.30/5,180.65 = 3,010.66/x
  3. Step 3: Cross multiply
    3,757.30x = 5,180.65 × 3,010.66
  4. Step 4: Simplify right side
    3,757.30x = 15,597,175.73
  5. Step 5: Solve for x
    x = 15,597,175.73/3,757.30
  6. Step 6: Final answer
    x = 4,151.17

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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.