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Finding the Fourth Proportional to 3,899.67, 5,381.85 and 2,221.59

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Solution

The fourth proportional to 3,899.67, 5,381.85 and 2,221.59 is: 3,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.67 : 5,381.85 = 2,221.59 : x
  2. Step 2: Convert to fraction form
    3,899.67/5,381.85 = 2,221.59/x
  3. Step 3: Cross multiply
    3,899.67x = 5,381.85 × 2,221.59
  4. Step 4: Simplify right side
    3,899.67x = 11,956,264.14
  5. Step 5: Solve for x
    x = 11,956,264.14/3,899.67
  6. Step 6: Final answer
    x = 3,065.97

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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.