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Finding the Fourth Proportional to 2,795.97, 3,858.44 and 1,537.12

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Solution

The fourth proportional to 2,795.97, 3,858.44 and 1,537.12 is: 2,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.97 : 3,858.44 = 1,537.12 : x
  2. Step 2: Convert to fraction form
    2,795.97/3,858.44 = 1,537.12/x
  3. Step 3: Cross multiply
    2,795.97x = 3,858.44 × 1,537.12
  4. Step 4: Simplify right side
    2,795.97x = 5,930,885.29
  5. Step 5: Solve for x
    x = 5,930,885.29/2,795.97
  6. Step 6: Final answer
    x = 2,121.23

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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.