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Finding the Fourth Proportional to 2,796.21, 3,858.79 and 1,537.22

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Solution

The fourth proportional to 2,796.21, 3,858.79 and 1,537.22 is: 2,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.21 : 3,858.79 = 1,537.22 : x
  2. Step 2: Convert to fraction form
    2,796.21/3,858.79 = 1,537.22/x
  3. Step 3: Cross multiply
    2,796.21x = 3,858.79 × 1,537.22
  4. Step 4: Simplify right side
    2,796.21x = 5,931,814.97
  5. Step 5: Solve for x
    x = 5,931,814.97/2,796.21
  6. Step 6: Final answer
    x = 2,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.