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Finding the Fourth Proportional to 3,837.97, 5,295.54 and 2,265.22

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Solution

The fourth proportional to 3,837.97, 5,295.54 and 2,265.22 is: 3,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.97 : 5,295.54 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    3,837.97/5,295.54 = 2,265.22/x
  3. Step 3: Cross multiply
    3,837.97x = 5,295.54 × 2,265.22
  4. Step 4: Simplify right side
    3,837.97x = 11,995,563.12
  5. Step 5: Solve for x
    x = 11,995,563.12/3,837.97
  6. Step 6: Final answer
    x = 3,125.50

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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.