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Finding the Fourth Proportional to 3,736.41, 5,605.35 and 1,270.56

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Solution

The fourth proportional to 3,736.41, 5,605.35 and 1,270.56 is: 1,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.41 : 5,605.35 = 1,270.56 : x
  2. Step 2: Convert to fraction form
    3,736.41/5,605.35 = 1,270.56/x
  3. Step 3: Cross multiply
    3,736.41x = 5,605.35 × 1,270.56
  4. Step 4: Simplify right side
    3,736.41x = 7,121,933.50
  5. Step 5: Solve for x
    x = 7,121,933.50/3,736.41
  6. Step 6: Final answer
    x = 1,906.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.