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Finding the Fourth Proportional to 3,638.43, 5,019.77 and 2,221.74

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Solution

The fourth proportional to 3,638.43, 5,019.77 and 2,221.74 is: 3,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.43 : 5,019.77 = 2,221.74 : x
  2. Step 2: Convert to fraction form
    3,638.43/5,019.77 = 2,221.74/x
  3. Step 3: Cross multiply
    3,638.43x = 5,019.77 × 2,221.74
  4. Step 4: Simplify right side
    3,638.43x = 11,152,612.69
  5. Step 5: Solve for x
    x = 11,152,612.69/3,638.43
  6. Step 6: Final answer
    x = 3,065.23

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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.