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Finding the Fourth Proportional to 3,745.07, 5,617.57 and 971.73

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Solution

The fourth proportional to 3,745.07, 5,617.57 and 971.73 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.07 : 5,617.57 = 971.73 : x
  2. Step 2: Convert to fraction form
    3,745.07/5,617.57 = 971.73/x
  3. Step 3: Cross multiply
    3,745.07x = 5,617.57 × 971.73
  4. Step 4: Simplify right side
    3,745.07x = 5,458,761.30
  5. Step 5: Solve for x
    x = 5,458,761.30/3,745.07
  6. Step 6: Final answer
    x = 1,457.59

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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.