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Finding the Fourth Proportional to 3,899.17, 5,381.16 and 2,221.09

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Solution

The fourth proportional to 3,899.17, 5,381.16 and 2,221.09 is: 3,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.17 : 5,381.16 = 2,221.09 : x
  2. Step 2: Convert to fraction form
    3,899.17/5,381.16 = 2,221.09/x
  3. Step 3: Cross multiply
    3,899.17x = 5,381.16 × 2,221.09
  4. Step 4: Simplify right side
    3,899.17x = 11,952,040.66
  5. Step 5: Solve for x
    x = 11,952,040.66/3,899.17
  6. Step 6: Final answer
    x = 3,065.28

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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.