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Finding the Fourth Proportional to 3,745.27, 5,617.86 and 971.70

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Solution

The fourth proportional to 3,745.27, 5,617.86 and 971.70 is: 1,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.27 : 5,617.86 = 971.70 : x
  2. Step 2: Convert to fraction form
    3,745.27/5,617.86 = 971.70/x
  3. Step 3: Cross multiply
    3,745.27x = 5,617.86 × 971.70
  4. Step 4: Simplify right side
    3,745.27x = 5,458,846.47
  5. Step 5: Solve for x
    x = 5,458,846.47/3,745.27
  6. Step 6: Final answer
    x = 1,457.53

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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.