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Finding the Fourth Proportional to 3,899.97, 5,381.34 and 2,221.45

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Solution

The fourth proportional to 3,899.97, 5,381.34 and 2,221.45 is: 3,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.97 : 5,381.34 = 2,221.45 : x
  2. Step 2: Convert to fraction form
    3,899.97/5,381.34 = 2,221.45/x
  3. Step 3: Cross multiply
    3,899.97x = 5,381.34 × 2,221.45
  4. Step 4: Simplify right side
    3,899.97x = 11,954,377.74
  5. Step 5: Solve for x
    x = 11,954,377.74/3,899.97
  6. Step 6: Final answer
    x = 3,065.25

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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.