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Finding the Fourth Proportional to 3,736.26, 5,603 and 1,270.41

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Solution

The fourth proportional to 3,736.26, 5,603 and 1,270.41 is: 1,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.26 : 5,603 = 1,270.41 : x
  2. Step 2: Convert to fraction form
    3,736.26/5,603 = 1,270.41/x
  3. Step 3: Cross multiply
    3,736.26x = 5,603 × 1,270.41
  4. Step 4: Simplify right side
    3,736.26x = 7,118,107.23
  5. Step 5: Solve for x
    x = 7,118,107.23/3,736.26
  6. Step 6: Final answer
    x = 1,905.14

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