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Finding the Fourth Proportional to 3,813.57, 5,265 and 2,972.25

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Solution

The fourth proportional to 3,813.57, 5,265 and 2,972.25 is: 4,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.57 : 5,265 = 2,972.25 : x
  2. Step 2: Convert to fraction form
    3,813.57/5,265 = 2,972.25/x
  3. Step 3: Cross multiply
    3,813.57x = 5,265 × 2,972.25
  4. Step 4: Simplify right side
    3,813.57x = 15,648,896.25
  5. Step 5: Solve for x
    x = 15,648,896.25/3,813.57
  6. Step 6: Final answer
    x = 4,103.48

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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.