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Finding the Fourth Proportional to 3,899.73, 5,382 and 2,221.55

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Solution

The fourth proportional to 3,899.73, 5,382 and 2,221.55 is: 3,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.73 : 5,382 = 2,221.55 : x
  2. Step 2: Convert to fraction form
    3,899.73/5,382 = 2,221.55/x
  3. Step 3: Cross multiply
    3,899.73x = 5,382 × 2,221.55
  4. Step 4: Simplify right side
    3,899.73x = 11,956,355.19
  5. Step 5: Solve for x
    x = 11,956,355.19/3,899.73
  6. Step 6: Final answer
    x = 3,065.94

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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.